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Publications of Bernd Krauskopf


Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Journal Publications

Year: [ pre 97 | 97 | 98 | 99 | 00 | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | to appear | submitted]

  

    pre 1997

  1. B. Krauskopf, Convergence of Julia sets in the approximation of lambda exp(z) by lambda [1+(z/d)]d, Int. J. Bifurcation and Chaos 3(2) (1993) 257-270

  2. B. Krauskopf, Bifurcation sequences at 1:4 resonance: an inventory, Nonlinearity 7(3) (1994) 1073-1091

  3. B. Krauskopf, The bifurcation set for the 1:4 resonance problem, Experimental Mathematics 3(2) (1994) 107-128

  4. B. Krauskopf, The extended parameter space of a model for 1:4 resonance, CWI Quarterly 8(3) (1995) 237-255

  5. B. Krauskopf and H. Kriete, A note on non-converging Julia sets, Nonlinearity 9(2) (1996) 601-603

    6. 1997

  6. B. Krauskopf, Bifurcations at infinity in a model for 1:4 resonance, Ergodic Theory & Dynamical Systems 17(4) (1997) 899-931

  7. B. Krauskopf and H. Kriete, Kernel convergence of hyperbolic components, Ergodic Theory & Dynamical Systems 17(5) (1997) 1137-1146

  8. B. Krauskopf and H. Kriete, Hausdorff convergence and the limit shape of the unicorns, Experimental Mathematics 6(2) (1997) 117-135; featured on the cover

  9. B. Krauskopf and C. Rousseau, Codimension-three unfoldings of reflectionally symmetric planar vector fields, Nonlinearity 10(5) (1997) 1115-1150

  10. B. Krauskopf, W.A. van der Graaf, and D. Lenstra, Bifurcations of relaxation oscillations in an optically injected diode laser, Quantum Semicl. Optics 9(5) (1997) 797-809; featured on the cover

    11. 1998

  11. B. Krauskopf and H.M. Osinga, Globalizing two-dimensional unstable manifolds of maps, Int. J. Bifurcation and Chaos 8(3) (1998) 483-503; featured on the cover

  12. B. Krauskopf and H.M. Osinga, Growing 1D and quasi 2D unstable manifolds of maps, J. Computational Physics 146(1) (1998) 404-419; with Multimedia enhancements at preprint 98-57 of MP_ARC

  13. A.I. Khibnik, B. Krauskopf, and C. Rousseau, Global study of a family of cubic Liénard equations, Nonlinearity 11(6) (1998) 1505-1519; with Multimedia enhancements

  14. B. Krauskopf, N. Tollenaar, and D. Lenstra, Tori and their bifurcations in an optically injected semiconductor laser, Optics Communications 156(1-3) (1998) 158-169

  15. B. Krauskopf, G.R. Gray, and D. Lenstra, Semiconductor laser with phase-conjugate feedback: Dynamics and bifurcations, Physical Review E 58(6) (1998) 7190-7197

    16. 1999

  16. B. Krauskopf and H. Kriete, Hausdorff convergence of Julia sets, Bulletin Belgian Math. Soc. Simon Stevin 6(1) (1999) 69-76

  17. J.L.A. Dubbeldam and B. Krauskopf, Self-pulsations of lasers with saturable absorber: dynamics and bifurcations, Optics Communications 159(4-6) (1999) 325-338

  18. B. Krauskopf and H.M. Osinga, Two-dimensional global manifolds of vector fields, Chaos 9(3) (1999) 768-774; with Multimedia enhancements

  19. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Excitability and coherence resonance in lasers with saturable absorber, Physical Review E 60(6) (1999) 6580-6588

  20. S.M. Wieczorek, B. Krauskopf and D. Lenstra, A unifying view of bifurcations in a semiconductor laser subject to optical injection, Optics Communications 172(1-6) (1999) 279-295

    21. 2000

  21. B. Krauskopf, G.H.M. van Tartwijk and G.R. Gray, Symmetry properties of lasers subject to optical feedback, Optics Communications 177(1-6) (2000) 347-353

  22. B. Krauskopf, Chaos in halfgeleiderlasers, Nederlands tijdschrift voor Natuurkunde 66(6) (2000) 188-192; featured on the cover

  23. C. Degen, B. Krauskopf, G. Jennemann, I. Fischer, and W. Elsässer, Polarization selective symmetry breaking in the nearfields of vertical cavity surface emitting lasers, Journal of Optics B: Quantum and Semiclassical Optics 2(4) (2000) 517-525; with Multimedia enhancements; featured on the cover

  24. B. Krauskopf, S.M. Wieczorek and D. Lenstra, Different types of chaos in an optically injected semiconductor laser, Applied Physics Letters 77(11) (2000) 1611-1613

  25. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Mechanisms for multistability in a semiconductor laser with optical injection, Optics Communications 183(1-4) (2000) 215-226

  26. A.J. Homburg and B. Krauskopf, Resonant homoclinic flip bifurcations, Journal of Dynamics and Differential Equations 12(4) (2000) 807-850

  27. B.E. Oldeman, B. Krauskopf and A.R. Champneys, Death of period-doublings: locating the homoclinic-doubling cascade, Physica D, 146(1-4) (2000) 100-120

    28. 2001

  28. B.E. Oldeman, B. Krauskopf and A.R. Champneys, Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations, Nonlinearity 14(3) (2001) 597-621

  29. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Sudden chaotic transitions in an optically injected semiconductor laser, Optics Letters 26(11) (2001) 816-818

  30. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Unnested islands of period-doublings in an injected semiconductor laser, Physical Review E 64 056204 (2001) 1-9

    31. 2002

  31. S.M. Wieczorek, B. Krauskopf, and D. Lenstra, Multipulse excitability in a semiconductor laser with optical injection, Physical Review Letters 88(6) 063901 (2002) 1-4

  32. S.M. Wieczorek, T.B. Simpson, B. Krauskopf and D. Lenstra, Global quantitative predictions of complex laser dynamics, Physical Review E 65(4) 045207(R) (2002) 1-4

  33. K. Green and B. Krauskopf, Global bifurcations and bistability at the locking boundaries of a semiconductor laser with phase-conjugate feedback, Physical Review E, 66(1) 016220 (2002) 1-6

  34. H.M. Osinga and B. Krauskopf, Visualizing chaos in the Lorenz system, Computers and Graphics 26(5) (2002) 815-823

  35. B. Krauskopf and S.M. Wieczorek, Accumulating regions of winding periodic orbits in optically driven lasers, Physica D 173(1-2) (2002) 97-113

  36. K. Green, B. Krauskopf and K. Engelborghs, Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback, Physica D 173(1-2) (2002) 114-129

  37. P. Collins and B. Krauskopf, Entropy and bifurcations in a chaotic laser, Physical Review E 66(5) 056201 (2002) 1-8

  38. D. Han, I.D. Cluckie, D. Karbassioun, J. Lawry and B. Krauskopf, River flow modelling using fuzzy decision trees, Water Resources Management 16 (2002) 431-445

    39. 2003

  39. S.M. Wieczorek, T.B. Simpson, B. Krauskopf and D. Lenstra, Bifurcation transitions in an optically injected diode laser: theory and experiment, Optics Communications 215(1-3) (2003) 125-134

  40. B. Krauskopf, K.R. Schneider, J. Sieber, S.M. Wieczorek, and M. Wolfrum, Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems, Optics Communications 215(4-6) (2003) 367-379

  41. B. Krauskopf and K. Green, Computing unstable manifolds of periodic orbits in delay differential equations, J. Computational Physics 186(1) (2003) 230-249

  42. K. Green, B. Krauskopf and G. Samaey, A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback, SIAM Journal on Applied Dynamical Systems 2(2) (2003) 254-276

  43. T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Delay dynamics of semiconductor lasers with short external cavities: bifurcation scenarios and mechanisms, Physical Review E 67(6) 066214 (2003) 1-11

  44. B. Krauskopf, Chaos en licht, Nieuw Archief voor Wiskunde 5/4(3) (2003) 209-214

  45. K. Green and B. Krauskopf, Bifurcation analysis of frequency locking in a semiconductor laser with phase-conjugate feedback, Int. J. Bifurcation and Chaos 13(9) (2003) 2589-2601

  46. B.E. Oldeman, A.R. Champneys and B. Krauskopf, Homoclinic branch switching: a numerical implementation of Lin's method, Int. J. Bifurcation and Chaos 13(10) (2003) 2977-2999

  47. T. Erneux, A. Gavrielides, K. Green and B. Krauskopf, External cavity modes of semiconductor lasers with phase-conjugate feedback, Physical Review E 68(6) 066205 (2003) 1-9

  48. B. Krauskopf and H.M. Osinga, Computing geodesic level sets on global (un)stable manifolds of vector fields, SIAM Journal on Applied Dynamical Systems 2(4) (2003) 546-569

    49. 2004

  49. B. Krauskopf and H.M. Osinga, The Lorenz manifold as a collection of geodesic level sets, Nonlinearity 17(1) (2004) C1-C6; with Multimedia enhancements; featured on the cover

  50. J. Sieber and B. Krauskopf, Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity, Nonlinearity 17(1) (2004) 85-103

  51. K. Green and B. Krauskopf, Bifurcation analysis of a semiconductor laser subject to non-instantaneous phase-conjugate feedback, Optics Communications 231(1-6) (2004) 383-393

  52. B. Krauskopf and B.E. Oldeman, A planar model system for the saddle-node Hopf bifurcation with global reinjection, Nonlinearity 17(4) (2004) 1119-1151

  53. K. Green, B. Krauskopf and K. Engelborghs, One-dimensional unstable eigenfunction and manifold computations in delay differential equations, J. Computational Physics 197(1) (2004) 86-98

  54. J.P. England, B. Krauskopf and H.M. Osinga, Computing one-dimensional stable manifolds of planar maps without the inverse, SIAM Journal on Applied Dynamical Systems 3(2) (2004) 161-190

  55. G. Orosz, R.E. Wilson and B. Krauskopf, Global bifurcation investigation of an optimal velocity traffic model with driver reaction time, Physical Review E 70(2) 026207 (2004) 1-10

  56. J. Sieber and B. Krauskopf, Complex balancing motions of an inverted pendulum subject to delayed feedback control, Physica D 197(3-4) (2004) 332-345

  57. H.M. Osinga and B. Krauskopf, Crocheting the Lorenz manifold, The Mathematical Intelligencer 26(4) (2004) 25-37; featured on the cover

    58. 2005

  58. S.M. Wieczorek and B. Krauskopf, Bifurcations of n-homoclinic orbits in optically injected lasers, Nonlinearity 18(3) (2005) 1095-1120

  59. B. Krauskopf , H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz and O. Junge, A survey of methods for computing (un)stable manifolds of vector fields, Int. J. Bifurcation and Chaos 15(3) (2005) 763-791; featured on the cover

  60. J.P. England, B. Krauskopf and H.M. Osinga, Bifurcations of stable sets in noninvertible planar maps, Int. J. Bifurcation and Chaos 15(3) (2005) 891-904

  61. J. Sieber and B. Krauskopf, Extending the permissible control loop latency for the controlled inverted pendulum, Dynamical Systems 20(2) (2005) 189-199

  62. S.M. Wieczorek, B. Krauskopf, T.B. Simpson and D. Lenstra, The dynamical complexity of optically injected semiconductor lasers, Physics Reports 416(1-2) (2005) 1-128

  63. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Explicit periodic solutions in a model of a relay controller with delay and forcing, Nonlinearity 18(6) (2005) 2637-2656

  64. H. Erzgräber, D. Lenstra, B. Krauskopf, E. Wille, M. Peil, I. Fischer and W. Elsässer, Mutually delay-coupled semiconductor lasers: mode bifurcation scenarios, Optics Communications 255(4-6) (2005) 286-296

  65. G. Orosz, B. Krauskopf and R.E. Wilson, Bifurcations and multiple traffic jams in a car-following model with reaction time delay, Physica D 211(3-4) (2005) 277-293

  66. H. Erzgräber, B. Krauskopf and D. Lenstra, Mode structure of delay-coupled semiconductor lasers: influence of the pump current, Journal of Optics B: Quantum and Semiclassical Optics 7(11) (2005) 361-371

  67. J.P. England, B. Krauskopf and H.M. Osinga, Computing one-dimensional global manifolds of Poincaré maps by continuation, SIAM Journal on Applied Dynamical Systems 4(4) (2005) 1008-1041

  68. M.I. Wallace, J. Sieber, S.A. Neild, D.J. Wagg and B. Krauskopf, Stability analysis of real-time dynamic substructuring using delay differential equation models, Earthquake Engineering & Structural Dynamics 34(15) (2005) 1817-1832

    69. 2006

  69. K. Green and B. Krauskopf, Mode structure of a semiconductor laser subject to filtered optical feedback, Optics Communications 258(2) (2006) 243-255

  70. H. Erzgräber, B. Krauskopf and D. Lenstra, Compound laser modes of mutually delay-coupled lasers, SIAM Journal on Applied Dynamical Systems 5(1) (2006) 30-65

  71. H. Erzgräber, B. Krauskopf, D. Lenstra, A.P.A. Fischer and G. Vemuri, Frequency versus relaxation oscillations in a semiconductor laser with coherent filtered optical feedback, Physical Review E 73(5) 055201(R) (2006) 1-4

  72. B. Krauskopf and B.E. Oldeman, Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation, Nonlinearity 19(9) (2006) 2149-2167

  73. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Periodic solutions and their bifurcations in a non-smooth second-order delay differential equation, Dynamical Systems 21(3) (2006) 289-311

  74. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Collocation schemes for periodic solutions of neutral delay differential equations, Journal of Difference Equations and Applications 12(11) (2006) 1087-1101

  75. E.J. Doedel, B. Krauskopf and H.M. Osinga, Global bifurcations of the Lorenz manifold, Nonlinearity 19(12) (2006) 2947-2972

    76. 2007

  76. S. Valling, B. Krauskopf, T. Fordell and A. Lindberg, Experimental bifurcation diagram of a solid state laser with optical injection, Optics Communications 271(2) (2007) 532-542

  77. H. Erzgräber, B. Krauskopf and D. Lenstra, Bifurcation analysis of a semiconductor laser with filtered optical feedback, SIAM Journal on Applied Dynamical Systems 6(1) (2007) 1-28

  78. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Homoclinic bifurcations in a neutral delay model of a transmission line oscillator, Nonlinearity 20(4) (2007) 809-829

  79. J.P. England, B. Krauskopf and H.M. Osinga, Computing two-dimensional global invariant manifolds in slow-fast systems, Int. J. Bifurcation and Chaos 17(3) (2007) 805-822

  80. B. Krauskopf, H.M. Osinga and B.B. Peckham, Unfolding the cusp-cusp bifurcation of planar endomorphisms, SIAM Journal on Applied Dynamical Systems 6(2) (2007) 403-440

  81. H.M. Osinga and B. Krauskopf, Visualizing curvature on the Lorenz manifold, Journal of Mathematics and the Arts 1(2) (2007) 113-123

  82. V. Rottschäfer and B. Krauskopf, The ECM-backbone of the Lang-Kobayashi equations: a geometric picture, Int. J. Bifurcation and Chaos 17(5) (2007) 1575-1588

  83. K. Green, B. Krauskopf and D. Lenstra, External cavity mode structure of a two-mode VCSEL subject to optical feedback, Optics Communications 277(2) (2007) 359-371

  84. H. Erzgräber and B. Krauskopf, Dynamics of a filtered-feedback laser: influence of the filter width, Optics Letters 32(16) (2007) 2441-2443

  85. H. Erzgräber, D. Lenstra, B. Krauskopf, A.P.A. Fischer and G. Vemuri, Feedback phase sensitivity of a semiconductor laser subject to filtered optical feedback: experiment and theory, Physical Review E 76(2) (2007) 026212

  86. J. Sieber and B. Krauskopf, Control-based continuation of periodic orbits with a time-delayed difference scheme, Int. J. Bifurcation and Chaos 17(8) (2007) 2579-2593; featured on the cover

    87. 2008

  87. J. Sieber and B. Krauskopf, Control-based bifurcation analysis for experiments, Nonlinear Dynamics 51(3) (2008) 365-377

  88. F. Schilder, J. Rübel, J. Starke, H.M. Osinga, B. Krauskopf and M. Inagaki, Efficient computation of quasi-periodic oscillations in nonlinear systems with fast rotating parts, Nonlinear Dynamics 51(4) (2008) 529-539

  89. M. Desroches, B. Krauskopf and H.M. Osinga, Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh Nagumo system, Chaos 18(1) (2008) 015107; featured on the cover

  90. J. Sieber and B. Krauskopf, Tracking oscillations in the presence of delay-induced essential instability, Journal of Sound and Vibration 315(3) (2008) 781-795

  91. B. Krauskopf and T. Riess, A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits, Nonlinearity 21(8) (2008) 1655-1690

  92. J. Sieber, A. Gonzalez-Buelga, S.A. Neild, D.J. Wagg and B. Krauskopf, Experimental continuation of periodic orbits through a fold, Physical Review Letters 100(24) (2008) 244101; featured by Physical Review Focus

  93. C.M. Lee, P.J. Collins, B. Krauskopf and H.M. Osinga, Tangency bifurcations of global Poincaré maps, SIAM Journal on Applied Dynamical Systems 7(3) (2008) 712-754

  94. M. Desroches, B. Krauskopf and H.M. Osinga, The geometry of slow manifolds near a folded node, SIAM Journal on Applied Dynamical Systems 7(4) (2008) 1131-1162

  95. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Dynamics of two laterally coupled semiconductor lasers: strong- and weak-coupling theory, Physical Review E 78(6) (2008) 066201

    96. 2009

  96. H. Erzgräber, E. Wille, B. Krauskopf and I. Fischer, Amplitude-phase dynamics near the locking region of two delay-coupled semiconductor lasers, Nonlinearity 22(3) (2009) 585-600

  97. K. Green, B. Krauskopf, F.B. Marten and D. Lenstra, Bifurcation analysis of a spatially extended laser with optical feedback, SIAM Journal on Applied Dynamical Systems 8(1) (2009) 222-252

  98. J. Rankin, E. Coetzee, B. Krauskopf and M.L. Lowenberg, Bifurcation and stability analysis of aircraft turning manoeuvres, Journal of Guidance, Control, and Dynamics 32(2) (2009) 500-511

  99. B. Krauskopf, C.M. Lee and H.M. Osinga, Codimension-one tangency bifurcations of global Poincaré maps of four-dimensional vector fields, Nonlinearity 22(5) (2009) 1091-1121

  100. P. Thota, B. Krauskopf and M.L. Lowenberg, Interaction of torsion and lateral bending in aircraft nose landing gear shimmy, Nonlinear Dynamics 57(3) (2009) 455-467

  101. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Locking behaviour of three coupled laser oscillators, Physical Review E 80(2) (2009) 026212

  102. M. Desroches, B. Krauskopf and H.M. Osinga, The geometry of mixed-mode oscillations in the Olsen model for the peroxidase-oxidase reaction, Discrete and Continuous Dynamical Systems - Series S 2(4) (2009) 807-827

  103. M.H. Adhikari, J.H. Heeroma, M. Di Bernardo, B. Krauskopf, M.P. Richardson, M.C. Walker and J.R. Terry, Characterisation of cortical activity in response to deep brain stimulation of ventral lateral nucleus: modelling and experiment, Journal of Neuroscience Methods 183(1) (2009) 77-85

    104. 2010

  104. G. Kiss and B. Krauskopf, Stability implications of delay distribution for first-order and second-order systems, Discrete and Continuous Dynamical Systems - Series B 13(2) (2010) 327-345

  105. P. Thota, B. Krauskopf and M.H. Lowenberg, Bifurcation analysis of nose landing gear shimmy with lateral and longitudinal bending, Journal of Aircraft 47(1) (2010) 87-95

  106. M. Desroches, B. Krauskopf and H.M. Osinga, Numerical continuation of canard orbits in slow-fast dynamical systems, Nonlinearity 23(3) (2010) 739-765

  107. J. Rankin, B. Krauskopf, M.L. Lowenberg and E. Coetzee, Operational parameter study of aircraft dynamics on the ground, Journal of Computational and Nonlinear Dynamics 5(2) (2010) 021007

  108. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Dynamics of two semiconductor lasers coupled by a passive resonator, Physical Review E 81(5) (2010) 056201

  109. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Nonlinear dynamics of torsional waves in a drill-string model with spatial extent, Journal of Vibration and Control 16(7-8) (2010) 1049-1065

  110. E. Coetzee, B. Krauskopf and M.L. Lowenberg, Application of bifurcation methods for the prediction of low-speed aircraft ground performance, Journal of Aircraft 47(4) (2010) 1248-1255

  111. P. Thota, B. Krauskopf, M.H. Lowenberg and E. Coetzee, Influence of tire inflation pressure on nose landing gear shimmy, Journal of Aircraft 47(5) (2010) 1697-1706

  112. J. Rankin, B. Krauskopf, M.L. Lowenberg, and E. Coetzee, Nonlinear analysis of lateral loading during taxiway turns, Journal of Guidance, Control, and Dynamics 33(6) (2010) 1708-1717

    113. 2011

  113. J. Sieber, B. Krauskopf, D.J. Wagg, S.A. Neild, A. Gonzalez-Buelga, Control-based continuation of unstable periodic orbits, Journal of Computational and Nonlinear Dynamics 6(1) (2011) 011005

  114. P. Aguirre, E.J. Doedel, B. Krauskopf and H.M. Osinga, Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields, Discrete and Continuous Dynamical Systems - Series A 29(4) (2011) 1309-1344

  115. G. Kiss and B. Krauskopf, Stabilizing effect of delay distribution for a class of second-order systems without instantaneous feedback, Dynamical Systems 26(1) (2011) 85-101

  116. J.A.C. Knowles, B. Krauskopf and M.L. Lowenberg, Numerical continuation applied to landing gear mechanism analysis, Journal of Aircraft 48(4) (2011) 1254-1262

  117. M.R. Marsico, V. Tzanov, D.J. Wagg, S.A. Neild and B. Krauskopf, Bifurcation analysis of a parametrically excited inclined cable close to two-to-one internal resonance, Journal of Sound and Vibration 330(24) (2011) 6023-6035

  118. E.J. Doedel, B. Krauskopf and H.M. Osinga, Global invariant manifolds in the transition to preturbulence in the Lorenz system, Indagationes Mathematicae 22(3-4) (2011) 223-241

  119. E. Coetzee, B. Krauskopf and M.L. Lowenberg, Analysis of medium-speed runway exit manoeuvres, Journal of Aircraft 48(5) (2011) 1553-1564

  120. J. Rankin, M. Desroches, B. Krauskopf and M.L. Lowenberg, Canard cycles in aircraft ground dynamics, Nonlinear Dynamics 66(4) (2011) 681-688

    121. 2012

  121. W. Zhang, B. Krauskopf and V. Kirk, How to find a codimension-one heteroclinic cycle between two periodic orbits, Discrete and Continuous Dynamical Systems - Series A 32(8) (2012) 2825-2851

  122. M. Desroches, J. Guckenheimer, B. Krauskopf, C. Kuehn, H.M. Osinga and M. Wechselberger, Mixed-mode oscillations with multiple time scales, SIAM Review 54(2) (2012) 211-288; featured on the cover

  123. P. Thota, B. Krauskopf and M.L. Lowenberg, Multi-parameter bifurcation study of shimmy oscillations in a dual-wheel aircraft nose landing gear, Nonlinear Dynamics 70(2) (2012) 1675-1688

    124. 2013

  124. J.A.C. Knowles, B. Krauskopf and M.L. Lowenberg, Numerical continuation analysis of a three-dimensional aircraft main landing gear mechanism, Nonlinear Dynamics 71(1-2) (2013) 331-352

  125. E. Coetzee, B. Krauskopf and M.L. Lowenberg, Continuation analysis of aircraft ground loads during high-speed turns, Journal of Aircraft 50(1) (2013) 217-231

  126. C. Howcroft, B. Krauskopf, M.L. Lowenberg and S.A. Neild, Influence of variable side-stay geometry on the shimmy dynamics of an aircraft dual-wheel main landing gear, SIAM Journal on Applied Dynamical Systems 12(3) (2013) 1181-1209; featured as a SIAM Nugget

  127. S. Hittmeyer, B. Krauskopf and H.M. Osinga, Interacting global invariant sets in a planar map model of wild chaos, SIAM Journal on Applied Dynamical Systems 12(3) (2013) 1280-1329

  128. P. Aguirre, B. Krauskopf and H.M. Osinga, Global invariant manifolds near homoclinic orbits to a real saddle: (non)orientability and flip bifurcation, SIAM Journal on Applied Dynamical Systems 12(4) (2013) 1803-1846

  129. S.J. Gill, M.L. Lowenberg, S.A. Neild, B. Krauskopf, G. Puyou and E. Coetzee, Upset dynamics of an airliner model: a nonlinear bifurcation analysis, Journal of Aircraft 50(6) (2013) 1832-1842

  130. C. Howcroft, M.L. Lowenberg, S.A. Neild and B. Krauskopf, Effects of freeplay on the dynamic stability of an aircraft main landing gear, Journal of Aircraft 50(6) (2013) 1908-1922

    131. 2014

  131. J.A.C. Knowles, B. Krauskopf, M.L. Lowenberg and S.A. Neild, Numerical continuation analysis of a dual-sidestay main landing gear mechanism, Journal of Aircraft 51(1) (2014) 129-143

  132. N. Terkovics, S.A. Neild, M.L. Lowenberg and B. Krauskopf, Bifurcation analysis of a coupled nose-landing-gear-fuselage system, Journal of Aircraft 51(1) (2014) 259-272

  133. P. Langfield, B. Krauskopf and H.M. Osinga, Solving Winfree's puzzle: the isochrons in the FitzHugh-Nagumo model, Chaos 24 (2014) 013131

  134. P. Aguirre, B. Krauskopf and H.M. Osinga, Global invariant manifolds near a Shilnikov homoclinic bifurcation, Journal of Computational Dynamics 1(1) (2014) 1-38

  135. M. Elmegård, B. Krauskopf, H.M. Osinga, J. Starke, and J.J. Thomsen, Bifurcation analysis of a smoothed model of a forced impacting beam and comparison with an experiment, Nonlinear Dynamics 77(3) (2014) 951-966

  136. B. Krauskopf and J. Sieber, Bifurcation analysis of delay-induced resonances of the El-Niño Southern Oscillation, Proceedings of the Royal Society A 470(2169) (2014) 20140348

  137. V. Tzanov, B. Krauskopf and S.A. Neild, Vibration dynamics of an inclined cable excited near its second natural frequency, Int. J. Bifurcation and Chaos 24(9) (2014) 1430024

  138. J.A.C. Knowles, M.L. Lowenberg, S.A. Neild and B. Krauskopf, A bifurcation study to guide the design of a landing gear with a combined uplock/downlock mechanism, Proceedings of the Royal Society A 470(2172) (2014) 20140332

  139. A.S. Purewal, C.M. Postlethwaite and B. Krauskopf, Effect of delay mismatch in Pyragas feedback control, Physical Review E 90 (2014) 052905

  140. E.J. Doedel, B. Krauskopf and C.L. Pando L., A numerical bifurcation study of a basic model of two coupled lasers with saturable absorption, The European Physical Journal - Special Topics 223(13) (2014) 2847-2856

  141. A.S. Purewal, C.M. Postlethwaite and B. Krauskopf, A global bifurcation analysis of the subcritical Hopf normal form subject to Pyragas time-delayed feedback control, SIAM Journal on Applied Dynamical Systems 13(4) (2014) 1879-1915

    142. 2015

  142. P. Słowiński, B. Krauskopf and S.M. Wieczorek, Mode structure of a semiconductor laser with feedback from two external filters, Discrete and Continuous Dynamical Systems - Series B 20(2) (2015) 519-586

  143. J.L. Creaser, B. Krauskopf and H.M. Osinga, α-flips and T-points in the Lorenz system, Nonlinearity 28(3) (2015) R39-R65

  144. J. Guckenheimer, B. Krauskopf, H.M. Osinga and B. Sandstede, Invariant manifolds and global bifurcations, Chaos 25(9) (2015) 097604

  145. C. Howcroft, M.L. Lowenberg, S.A. Neild, B. Krauskopf and E. Coetzee, Shimmy of an aircraft main landing gear with geometric coupling and mechanical freeplay, Journal of Computational and Nonlinear Dynamics 10(5) (2015) 051011

  146. S. Hittmeyer, B. Krauskopf and H.M. Osinga, Interactions of the Julia set with critical and (un)stable sets in an angle-doubling map on C \ {0}, Int. J. Bifurcation and Chaos 25(4) (2015) 1530013

  147. A. Keane, B. Krauskopf and C.M. Postlethwaite, Delayed feedback versus seasonal forcing: resonance phenomena in an El Niño Southern Oscillation model, SIAM Journal on Applied Dynamical Systems 14(3) (2015) 1229-1257

  148. S. Sharma, E. Coetzee, M.L Lowenberg, S.A. Neild and B. Krauskopf, Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective, Proceedings of the Royal Society A 373 (2015) 20140406; featured on the cover

  149. P. Langfield, B. Krauskopf and H.M. Osinga, Forward-time and backward-time isochrons, and their interactions, SIAM Journal on Applied Dynamical Systems 14(3) (2015) 1418-1453

  150. S. Hittmeyer, B. Krauskopf and H.M. Osinga, From wild Lorenz-like to wild Rovella-like dynamics, Dynamical Systems: An International Journal 30(4) (2015)

  151. E.J. Doedel, B. Krauskopf and H.M. Osinga, Global organization of phase space in the transition to chaos in the Lorenz system, Nonlinearity 28(11) (2015) R113-R139

  152. S.J. Gill, M.L. Lowenberg, S.A. Neild, L.G. Crespo, B. Krauskopf and G. Puyou, Nonlinear dynamics of aircraft controller characteristics outside the standard flight envelope, Journal of Guidance, Control, and Dynamics 38(12) (2015) 2301-2308

    153. 2016

  153. S.J. Gill, M.L. Lowenberg, S.A. Neild, L.G. Crespo and B. Krauskopf, Impact of controller delays on the nonlinear dynamics of remotely piloted aircraft, Journal of Guidance, Control, and Dynamics 39(2) (2016) 292-300

  154. S. Kewley, M.L. Lowenberg, S.A. Neild and B. Krauskopf, Investigation into the interaction of nose landing gear and fuselage dynamics, Journal of Aircraft 53(4) (2016) 881-891

  155. N. Terkovics, S.A. Neild, M.L. Lowenberg, R. Szalai and B. Krauskopf, Substructurability: the effect of interface location on a real-time dynamic substructuring test, Proceedings of the Royal Society A 472 (2016) 20160433

  156. A. Keane, B. Krauskopf and C.M. Postlethwaite, Investigating irregular behavior in a model for the El Niño Southern Oscillation with positive and negative delayed feedback, SIAM Journal on Applied Dynamical Systems 15(3) (2016) 1656-1689

  157. P. Słowiński, K. Tsaneva-Atanasova and B. Krauskopf, Effects of time-delay in a model of intra- and inter-personal motor coordination, The European Physical Journal - Special Topics 225(13) (2016) 2591-2600

  158. J. Hannam, B. Krauskopf and H.M. Osinga, Global isochrons of a planar system near a phaseless set with saddle equilibria, The European Physical Journal - Special Topics 225(13) (2016) 2645-2654

    159. 2017

  159. A. Giraldo, B. Krauskopf and H.M. Osinga, Saddle invariant objects and their global manifolds in a neighborhood of a homoclinic flip bifurcation of case B, SIAM Journal on Applied Dynamical Systems 16(1) (2017) 640-686

  160. S. Terrien, B. Krauskopf and N.G.R. Broderick, Bifurcation analysis of the Yamada model for a pulsing semiconductor laser with saturable absorber and delayed optical feedback, SIAM Journal on Applied Dynamical Systems 16(2) (2017) 771-801

  161. R.C. Calleja, A.R. Humphries and B. Krauskopf, Resonance phenomena in a scalar delay differential equation with two state-dependent delays, SIAM Journal on Applied Dynamical Systems 16(3) (2017) 1474-1513

  162. L. Jaurigue, B. Krauskopf and K. Lüdge, Multipulse dynamics of a passively mode-locked semiconductor laser with delayed optical feedback, Chaos 27(11) (2017) 114301

  163. A. Keane, B. Krauskopf and C.M. Postlethwaite, Climate models with delay differential equations, Chaos 27(11) (2017) 114309

  164. S. Terrien, B. Krauskopf, N.G.R. Broderick, L. Andréoli, F. Selmi, R. Braive, G. Beaudoin, I. Sagnes and S. Barbay, Asymmetric noise sensitivity of pulse trains in an excitable microlaser with delayed optical feedback, Physical Review A 96(4) (2017) 043863

  165. J.L. Creaser, B. Krauskopf and H.M. Osinga, Finding first foliation tangencies in the Lorenz system, SIAM Journal on Applied Dynamical Systems 16(4) (2017) 2127-2164

  166. C. Hasan, B. Krauskopf and H.M. Osinga, Mixed-mode oscillations and twin canard orbits in an autocatalytic chemical reaction, SIAM Journal on Applied Dynamical Systems 16(4) (2017) 2165-2195

  167. J. Mujica, B. Krauskopf and H.M. Osinga, A Lin's method approach for detecting all canard orbits arising from a folded node, Journal of Computational Dynamics 4(1) (2017) 143-165

    168. 2018

  168. J.E. Rubin, B. Krauskopf and H.M. Osinga, Natural extension of fast-slow decomposition for dynamical systems, Physical Review E 97(1) (2018) 012215

  169. C. Hasan, B. Krauskopf and H.M. Osinga, Saddle slow manifolds and canard orbits in R4 and application to the full Hodgkin–Huxley model, Journal of Mathematical Neuroscience 8(5) (2018) 1-48

  170. J. Mujica, B. Krauskopf and H.M. Osinga, Tangencies between global invariant manifolds and slow manifolds near a singular Hopf bifurcation, SIAM Journal on Applied Dynamical Systems 17(2) (2018) 1395-1431

  171. A. Keane and B. Krauskopf, Chenciner bubbles and torus break-up in a periodically forced delay differential equation, Nonlinearity 31(6) (2018) R165-R187

  172. S. Terrien, B. Krauskopf, N.G.R. Broderick, R. Braive, G. Beaudoin, I. Sagnes and S. Barbay, Pulse train interaction and control in a microcavity laser with delayed optical feedback, Optics Letters 43(13) (2018) 3013-3016

  173. S. Hittmeyer, B. Krauskopf, H.M. Osinga and K. Shinohara, Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations, Nonlinearity 31(10) (2018) R239-R267

  174. R. Otupiri, B. Garbin, B. Krauskopf and N.G.R. Broderick, Experimental and numerical characterisation of an all-fibre laser with saturable absorber, Optics Letters 43(20) (2018) 4945-4948

  175. S. Terrien, B. Krauskopf, N.G.R. Broderick, L. Jaurigue and K. Lüdge, Q-switched pulsing lasers subject to delayed feedback: A model comparison, Physical Review A 98(4) (2018) 043819

  176. A. Giraldo, B. Krauskopf and H.M. Osinga, Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study, SIAM Journal on Applied Dynamical Systems 17(4) (2018) 2784-2829

    177. 2019

  177. K. Lüdge, L. Jaurigue, B. Lingnau, S. Terrien and B. Krauskopf, Semiconductor mode-locked laser with external feedback: emergence of multi-frequency pulse trains with an increasing number of modes, The European Physical Journal B 92(4) (2019) 89

  178. A. Keane, B. Krauskopf and H.A. Dijkstra, The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation, Philosophical Transactions of the Royal Society A 377(2153) (2019) 20180121

  179. A. Zelei, B. Krauskopf, P. Piiroinen and T. Insperger, Stable periodic motion of a controlled segmented leg model of pedal locomotion with inelastic ground-foot collision, Nonlinear Dynamics 97(3) (2019) 1945-1958

    180. 2020

  180. S. Terrien, V.A. Pammi, N.G.R. Broderick, R. Braive, G. Beaudoin, I. Sagnes, B. Krauskopf and S. Barbay, Equalization of pulse timings in an excitable microlaser system with delay, Physical Review Research 2 (2020) 023012

  181. A. Giraldo, B. Krauskopf, N.G.R. Broderick, J.A. Levenson and A.M. Yacomotti, The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos, New Journal of Physics 22 (2020) 043009

  182. A. Giraldo, B. Krauskopf and H.M. Osinga, Computing connecting orbits to infinity associated with a homoclinic flip bifurcation, Journal of Computational Dynamics 7(2) (2020) 489-510

  183. K.C. Stitely, A. Giraldo, B. Krauskopf and S. Parkins, Nonlinear semiclassical dynamics of the unbalanced, open Dicke model, Physical Review Research 2 (2020) 033131

  184. S. Hittmeyer, B. Krauskopf, H.M. Osinga and K. Shinohara, How to identify a hyperbolic set as a blender, Discrete and Continuous Dynamical Systems - Series A 40(12) (2020) 6815-6836

  185. S. Ruschel, B. Krauskopf and N.G.R. Broderick, The limits of sustained self-excitation and stable periodic pulse trains in the Yamada model with delayed optical feedback, Chaos 30(9) (2020) 093101

  186. A. Keane, B. Krauskopf and T. Lenton, Signatures consistent with multi-frequency tipping in the Atlantic meridional overturning circulation, Physical Review Letters 125(22) (2020) 228701; featured as Editors' Suggestion

  187. R. Otupiri, B. Krauskopf and N.G.R. Broderick, The Yamada model for a self-pulsing laser: bifurcation structure for non-identical decay times of gain and absorber, Int. J. Bifurcation and Chaos 30(14) (2020) 2030039; selected as Feature Article

  188. K.C. Stitely, S.J. Masson, A. Giraldo, B. Krauskopf and S. Parkins, Superradiant switching, quantum hysteresis, and oscillations in a generalized Dicke model, Physical Review A 102(6) (2020) 063702

  189. E. Musoke, B. Krauskopf and H.M. Osinga, A surface of heteroclinic connections between two saddle slow manifolds in the Olsen model, Int. J. Bifurcation and Chaos 30(16) (2020) 2030048; selected as Feature Article

    190. 2021

  190. S. Terrien, V.A. Pammi, B. Krauskopf, N.G.R. Broderick and S. Barbay, Pulse-timing symmetry breaking in an excitable optical system with delay, Physical Review E 103(1) (2021) 012210

  191. K.C.A. Wedgwood, P. Słowiński, J. Manson, K. Tsaneva-Atanasova and B. Krauskopf, Robust spike timing in an excitable cell with delayed feedback, Journal of the Royal Society Interface 18(177) (2021) 20210029

  192. R. Otupiri, B. Garbin, N.G.R. Broderick and B. Krauskopf, Excitability in an all-fiber laser with a saturable absorber section, Journal of the Optical Society of America B 38(5) (2021) 1695-1701

  193. R.I. Bandara, A. Giraldo, N.G.R. Broderick and B. Krauskopf, Infinitely many multipulse solitons of different symmetry types in the nonlinear Schrödinger equation with quartic dispersion, Physical Review A 103(6) (2021) 063514

  194. E. Fehér, G. Domokos and B. Krauskopf, Tracking the critical points of curves evolving under planar curvature flows, Journal of Computational Dynamics 8(4) (2021) 447-494

  195. J.A.C. Knowles, B. Krauskopf and E. Coetzee, Unlocking a nose landing gear in different flight conditions: folds, cusps and a swallowtail, Nonlinear Dynamics 106(4) (2021) 2943–2961

    196. 2022

  196. B. Garbin, A. Giraldo, K.J.H. Peters, N.G.R. Broderick, A. Spakman, F. Raineri, A. Levenson, S.R.K. Rodriguez, B. Krauskopf and A.M. Yacomotti, Spontaneous symmetry breaking in a coherently driven nanophotonic Bose-Hubbard dimer, Physical Review Letters 128(5) (2022) 053901

  197. A. Giraldo, S.J. Masson, N.G.R. Broderick and B. Krauskopf, Semiclassical bifurcations and quantum trajectories: a case study of the open Bose-Hubbard dimer, The European Physical Journal - Special Topics 231(3) (2022) 385-401; featured on the cover

  198. K.C. Stitely, A. Giraldo, B. Krauskopf and S. Parkins, Lasing and counter-lasing phase transitions in a cavity-QED system, Physical Review Research 4(2) (2022) 023101

  199. A. Giraldo, N.G.R. Broderick, and B. Krauskopf, Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in R4, Discrete and Continuous Dynamical Systems - Series B 27(7) (2022) 4023-4075

  200. A. Hammerlindl, B. Krauskopf, G. Mason and H.M. Osinga, Determining the global manifold structure of a continuous-time heterodimensional cycle, Journal of Computational Dynamics 9(3) (2022) 393-419

  201. A.R. Humphries, B. Krauskopf, S. Ruschel and J. Sieber, Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop, Discrete and Continuous Dynamical Systems - Series B 27(12) (2022) 7245-7273

  202. C.R. Laing and B. Krauskopf, Theta neuron subject to delayed feedback: a prototypical model for self-sustained pulsing, Proceedings of the Royal Society A 478(2266) (2022) 20220292

  203. J. Hannam, B. Krauskopf and H.M. Osinga, Isochron foliations and global bifurcations: A case study, Transactions of Mathematics and its Applications 6(2) (2022) 1-43

    204. 2023

  204. S. Terrien, B. Krauskopf, N.G.R. Broderick, V.A. Pammi, R. Braive, I. Sagnes, G. Beaudoin, K. Pantzas and S. Barbay, Merging and disconnecting resonance tongues in a pulsing excitable microlaser with delayed optical feedback, Chaos 33(2) (2023) 023142; selected as Featured

  205. S. Hittmeyer, B. Krauskopf, H.M. Osinga and K. Shinohara, Boxing-in of a blender in a Hénon-like family, Frontiers in Applied Mathematics and Statistics 9 (2023) 1086240

  206. S.R. John, B. Krauskopf, H.M. Osinga and J.E. Rubin, Slow negative feedback enhances robustness of square-wave bursting, Journal of Computational Neuroscience 51(2) (2023) 239-261

  207. R.I. Bandara, A. Giraldo, N.G.R. Broderick and B. Krauskopf, Generalized and multi-oscillation solitons in the nonlinear Schrödinger equation with quartic dispersion, Chaos 33 (2023) 073154

  208. A. Neff, A. Keane, H.A. Dijkstra and B. Krauskopf, Bifurcation analysis of a North Atlantic Ocean box model with two deep-water formation sites, Physica D 456 (2023) 133907

  209. K.C. Stitely, F. Finger, R. Rosa-Medina, F. Ferri, T. Donner, T. Esslinger, S. Parkins and B. Krauskopf, Quantum fluctuation dynamics of dispersive superradiant pulses in a hybrid light-matter system, Physical Review Letters 131(14) (2023) 143604

  210. R.D. Bitha, A. Giraldo, N.G.R. Broderick and B. Krauskopf, Bifurcation analysis of complex switching oscillations in a Kerr microring resonator, Physical Review E 108(6) (2023) 064204

    211. 2024

  211. J. Bailie and B. Krauskopf, Bifurcation analysis of a conceptual model for vertical mixing in the North Atlantic, Physica D 460(6) (2024) 134077

  212. D. C'Julio, B. Krauskopf and H.M. Osinga, Computing parametrised large intersection sets of 1D invariant manifolds: a tool for blender detection, Numerical Algorithms 96 (2024) 1079-1108; in Collection ANODE 2023 – In honour of John Butcher’s 90th birthday

  213. S. Hayashi, S. Gutschmidt, R. Murray and B. Krauskopf, Experimental bifurcation analysis of a clamped beam with designed mechanical nonlinearity, Nonlinear Dynamics 112 (2024) 15701-15717

  214. R.I. Bandara, A. Giraldo, N.G.R. Broderick and B. Krauskopf, Bifurcations of periodic orbits in the Generalised Nonlinear Schrödinger Equation, Journal of Computational Dynamics Early Access (2024)

  215. K.H. Lee, N.G.R. Broderick, B. Krauskopf and H.M. Osinga, Phase response to arbitrary perturbations: Geometric insights and resetting surfaces, Discrete and Continuous Dynamical Systems - Series B Early Access (2024)


    216. 2025

  216. N. Wong, B. Krauskopf and H.M. Osinga, Cascades of heterodimensional cycles via period doubling, Communications in Nonlinear Science and Numerical Simulation 140(1) (2025) 108328; Invited Article

  217. M.J. Capiński, B. Krauskopf, H.M. Osinga and P. Zgliczyński, Characterising blenders via covering relations and cone conditions, Journal of Differential Equations 416(1) (2025) 768-805

    218. to appear

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Preprints

  
  1. J. Bailie, H.A. Dijkstra and B. Krauskopf, A detailed analysis of the origin of deep-decoupling oscillations, arXiv Preprint 2406.00646, June 2024

  2. S. Ruschel, V.A. Pammi, R. Braive, I. Sagnes, G. Beaudoin, N.G.R. Broderick, B. Krauskopf and S. Barbay, Regenerative vectorial breathers in a delay-coupled neuromorphic microlaser with integrated saturable absorber, arXiv Preprint 2409.20177, October 2024

  3. K.H. Lee, N.G.R. Broderick, B. Krauskopf and H.M. Osinga, Generic planar phase resetting near a phaseless point, University of Auckland Preprint, October 2024

  4. R.D. Bitha, A. Giraldo, N.G.R. Broderick and B. Krauskopf, A kneading map of chaotic switching oscillations in a Kerr cavity with two interacting light fields, arXiv Preprint 2410.23588, October 2024

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Books

  
  1. A.D. Bazykin, Nonlinear Dynamics of Interacting Populations, edited by A.I. Khibnik and B. Krauskopf, World Scientific Series on Nonlinear Science A 11, World Scientific (1998)

  2. B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000)

  3. H.W. Broer, B. Krauskopf and G. Vegter (Eds.), Global Analysis of Dynamical Systems: Festschrift dedicated to Floris Takens for his 60th birthday, Institute of Physics Publishing (2001)

  4. S.J. Hogan, A.R. Champneys, B. Krauskopf, M. di Bernardo, R.E. Wilson, H.M. Osinga and M.E. Homer (Eds.), Nonlinear Dynamics and Chaos: Where do we go from here?, Institute of Physics Publishing (2002)

  5. B. Krauskopf, H.M. Osinga and J. Galán-Vioque (Eds.), Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems, Springer-Verlag (2007)

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Book Chapters

  
  1. B. Krauskopf and H. Kriete, Approximating transcendental Julia sets, in H. Kriete (Ed.), Progress in Holomorphic Dynamics, Pitman Research Notes in Mathematics Series 387, Longman (1998), 116-138

  2. B. Krauskopf, Bifurcation Analysis of Laser Systems, in B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000), 1-30

  3. H.W. Broer and B. Krauskopf, Chaos in Periodically Driven Systems, in B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000), 31-53

  4. S.M. Verduyn Lunel and B. Krauskopf, The Mathematics of Delay Equations with an Application to the Lang-Kobayashi Equations, in B. Krauskopf and D. Lenstra (Eds.), Fundamental Issues of Nonlinear Laser Dynamics, AIP Conference Proceedings 548 (2000), 66-87

  5. B. Krauskopf, Strong resonances and Takens's Utrecht Preprint, in H.W. Broer, B. Krauskopf and G. Vegter (Eds.), Global Analysis of Dynamical Systems: Festschrift dedicated to Floris Takens for his 60th birthday, Institute of Physics Publishing (2001), 89-111

  6. B. Krauskopf, Bifurcation analysis of lasers with delay, in D.M. Kane and K.A. Shore (Eds.), Unlocking Dynamical Diversity: Optical Feedback Effects on Semiconductor Lasers, Wiley (2005), 147-183

  7. B. Krauskopf , H.M. Osinga, E.J. Doedel M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz and O. Junge, A survey of methods for computing (un)stable manifolds of vector fields, in E.J. Doedel, G. Domokos and I.G. Kevrekidis (Eds.), Modeling and Computations in Dynamical Systems, World Scientific Series on Nonlinear Science B 13, World Scientific (2006), 67-95 [reprinting of Journal Publication 59]; featured on the cover

  8. J.P. England, B. Krauskopf and H.M. Osinga, Bifurcations of stable sets in noninvertible planar maps, in E.J. Doedel, G. Domokos and I.G. Kevrekidis (Eds.), Modeling and Computations in Dynamical Systems, World Scientific Series on Nonlinear Science B 13, World Scientific (2006), 195-208 [reprinting of Journal Publication 60]

  9. B. Krauskopf, Semiconductor lasers as dynamical systems, in F. Dumortier, D. Roose and A. Vanderbauwhede (Eds.), Trends in Dynamical Systems, Handelingen van de Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten (2007), 33-45

  10. B. Krauskopf and H.M. Osinga, Computing invariant manifolds via the continuation of orbit segments, in B. Krauskopf, H.M. Osinga and J. Galán-Vioque (Eds.), Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems, Springer-Verlag (2007), 117-154

  11. B. Krauskopf, H.M. Osinga and E.J. Doedel, Visualizing global manifolds during the transition to chaos in the Lorenz system, in H.-C. Hege, K. Polthier and G. Scheuermann (Eds.), Topology-Based Methods in Visualization II, Springer-Verlag (2009), 115-126

  12. K. Green and B. Krauskopf, Dynamics of patterns in lasers with delayed feedback, in J. Dubbeldam, K. Green and D. Lenstra (Eds.), The Complexity of Dynamical Systems. A Multi-disciplinary Perspective, Wiley-VCH (2011), 37-62

  13. B. Krauskopf and J. Walker, Bifurcation study of a semiconductor laser with saturable absorber and delayed optical feedback, in K. Lüdge (Ed.), Nonlinear Laser Dynamics. From Quantum Dots to Cryptography, Wiley-VCH (2012), 161-181

  14. H.M. Osinga, B. Krauskopf and S. Hittmeyer, Chaos and wild chaos in Lorenz-type systems, in Z. AlSharawi, J.M. Cushing and S. Elaydi (Eds.), Theory and Applications of Difference Equations and Discrete Dynamical Systems, Springer Proceedings in Mathematics and Statistics 102, Springer-Verlag (2014), 75-98

  15. A.S. Purewal, B. Krauskopf and C.M. Postlethwaite, Global effects of time-delayed feedback control applied to the Lorenz system, in E. Schöll, S.H.L. Klapp and P. Hövel (Eds.), Control of Self-Organizing Nonlinear Systems, Springer Series in Synergetics, Springer-Verlag (2016), 81-103

  16. B. Krauskopf, E. Coetzee, M.L Lowenberg, S.A. Neild and S. Sharma, Dynamical systems methods for evaluating aircraft ground manoeuvres, in P. Aston, T. Mulholland and K. Tant (Eds.), UK Success Stories in Industrial Mathematics, Springer-Verlag (2016), 131-136

  17. B. Krauskopf and H.M. Osinga, A codimension-four singularity with potential for action, in B. Toni (Ed.), Interdisciplinary Mathematical Research and Applications. In Honor of Professor Christiane Rousseau, Springer Proceedings in Mathematics and Statistics 157, Springer-Verlag (2016), 253-268

  18. S. Hittmeyer, B. Krauskopf and H.M. Osinga, Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps, in M. Bohner, S. Siegmund, R. Šimon Hilscher and P. Stehlík (Eds.), Difference Equations and Discrete Dynamical Systems with Applications, Springer-Verlag (2020), 21-54

  19. P. Langfield, B. Krauskopf and H.M. Osinga, A continuation approach to computing phase resetting curves, in O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum and K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer-Verlag (2020), 3-30

  20. B. Krauskopf and J. Sieber, Bifurcation analysis of systems with delays: methods and their use in applications, in D. Breda (Ed.), Controlling Delayed Dynamics: Advances in Theory, Methods and Applications, CISM International Centre for Mechanical Sciences (CISM, volume 604), Springer-Verlag (2022), 195-245

  21. J. Hannam, B. Krauskopf and H.M. Osinga, Global manifolds of saddle periodic orbits parametrised by isochrons, in S. Olaru, S. Elaydi, J. Cushing, and R. Lozi (Eds.), Advances in Discrete Dynamical Systems, Difference Equations, and Applications, Springer-Verlag (2024), 143-174

  22. E. Musoke, B. Krauskopf and H.M. Osinga, A heteroclinic surface between two saddle slow manifolds organizing sectors of rotation of mixed-mode oscillations, in H. Jardón-Kojakhmetov, M. Engel and C. Soresina (Eds.), Topics in Multiple Time Scale Dynamics, Contemporary Mathematics, Volume 806, American Mathematical Society (2024), 127-149

Contents: [ Journal Publications | Preprints | Books | Book Chapters | Proceedings Contributions ]

Proceedings Contributions

  
  1. B. Krauskopf, Transputer in der Iterationstheorie ganzer transzendenter Funktionen, in Informatik aktuell, R. Grebe & M. Baumann, Parallele Datenverarbeitung mit dem Transputer, Springer-Verlag (1992) 147-154

  2. B. Krauskopf, Stability loss near 1:4 resonance, in P.L. Butzer, H.Th. Jongen and W. Oberschelp (Eds.), Charlemagne and His Heritage: 1200 Years of Civilization and Science in Europe, Volume 2: Mathematical Arts, Brepols Publishers (1998) 551-561

  3. B. Krauskopf, N. Tollenaar, W.A. van der Graaf, and D. Lenstra, Complicated dynamics due to a heteroclinic connection in an injected diode laser, Proceedings of SPIE 3283 (1998) 589-600

  4. B. Krauskopf, G.R. Gray, and D. Lenstra, Bifurcations in a semiconductor laser with phase-conjugate feedback, Proceedings of SPIE 3283 (1998) 510-521

  5. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Self-pulsations and mode-locking in narrow stripe lasers, Technical Digest CLEO/Europe '98

  6. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Self-pulsations and mode-locking in narrow stripe lasers, Proceedings 1998 Symposium of IEEE/LEOS Benelux Chapter

  7. B. Krauskopf, G.H.M. van Tartwijk and G.R. Gray, Aspects of symmetry in lasers with optical feedback, Proceedings of SPIE 3625 (1999) 646-655

  8. D. Lenstra, S.M. Wieczorek and B. Krauskopf, A global view of period-doubling in a semiconductor laser with optical injection; Proceedings of LEOS'99

  9. B. Krauskopf, B.E. Oldeman and A.R. Champneys, Resonant homoclinic flip bifurcations: a numerical investigation, in B. Fiedler, K. Gröger and J. Sprekels (Eds.), Equadiff 99, World Scientific (2000) 55-57

  10. B. Krauskopf and H.M. Osinga, Investigating torus bifurcations in the forced Van der Pol oscillator; in E.J. Doedel and L.S. Tuckerman (Eds.), Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, IMA Volumes in Mathematics and its Applications 119, Springer-Verlag (2000) 199-208

  11. J.L.A. Dubbeldam, B. Krauskopf and D. Lenstra, Excitability and coherence resonance in passively Q-switched diode lasers, Proceedings of SPIE 3944 (2000) 454-463

  12. S.M. Wieczorek, B. Krauskopf and D. Lenstra, Global view of complicated dynamics in optically injected semiconductor lasers, Proceedings of SPIE 3944 (2000) 602-611

  13. B. Krauskopf, S.M. Wieczorek and D. Lenstra, Routes to chaos in an otpically injected semiconductor laser, Proceedings of SPIE 3944 (2000) 612-619

  14. B. Krauskopf and K. Green, Bifurcations to chaos in a semiconductor laser with phase-conjugate feedback, Proceedings of LEOS 2000 62-63

  15. S.M. Wieczorek, B. Krauskopf, and D. Lenstra, Bifurcations of chaotic attractors in a semiconductor laser subject to optical injection, Proceedings of LEOS 2000 64-65

  16. B. Krauskopf and K. Green, Routes to chaos in a semiconductor laser subject to phase-conjugate optical feedback, Proceedings of SPIE 4646 (2002) 453-462

  17. S.M. Wieczorek, T.B. Simpson, B. Krauskopf and D. Lenstra, Complex dynamics of an optically injected semiconductor laser: bifurcation theory and experiment, Proceedings of SPIE 4646 (2002) 471-478

  18. B. Krauskopf and K. Green, Unstable manifolds of delay systems, Proceedings of New Directions in Dynamical Systems, Kyoto 2002 (ICM 2002 satellite conference) 330-335

  19. B. Krauskopf and K. Green, A two parameter study near the locking region of a semiconductor laser with phase-conjugate feedback, Proceedings of SPIE 4986 (2003) 513-520

  20. B. Krauskopf, S.M. Wieczorek and D. Lenstra, Multipulse excitability in injected lasers, Proceedings of SPIE 4986 (2003) 432-439

  21. B. Krauskopf, K. Green, H. Erzgräber and D. Lenstra, Dynamics and bifurcations of a semiconductor laser with short external cavity, Proceedings of SPIE 5452 (2004) 82-92

  22. K. Green and B. Krauskopf, Bifurcation analysis of a semiconductor laser subject to non-instantaneous phase-conjugate feedback, Proceedings of SPIE 5452 (2004) 255-262

  23. T. Erneux, A. Gavrielides, K. Green and B. Krauskopf, Analytical theory of external cavity modes of a semiconductor laser with phase conjugate feedback, Proceedings of SPIE 5452 (2004) 263-272

  24. H. Erzgräber, D. Lenstra, B. Krauskopf and I. Fischer, Dynamical properties of mutually delayed coupled semiconductor lasers, Proceedings of SPIE 5452 (2004) 352-361

  25. K. Green, K. Engelborghs and B. Krauskopf, From local to global one-dimensional unstable manifolds in delay differential equations, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 175-180

  26. B. Krauskopf and H. Osinga, Geodesic parametrization of global invariant manifolds, or what does the Equadiff 2003 poster show?, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 429-433

  27. K. Green and B. Krauskopf, Sudden transitions to chaos in a semiconductor laser with optical delay, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 607-612

  28. J. Sieber and B. Krauskopf, Dynamics of an inverted pendulum subject to delayed control, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 768-773

  29. P. Collins and B. Krauskopf, Chaotic lasers: manifolds, bifurcations and symbolic dynamics, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 871-876

  30. B.E. Oldeman and B. Krauskopf, A vector field model of a saddle-node Hopf bifurcation with global reinjection, Proceedings of Equadiff 2003, World Scientific Publishing (2005) 1114-1116

  31. B. Krauskopf, H. Erzgräber and D. Lenstra, Bifurcation analysis of coupled laser modes in mutually delay coupled lasers, in Wim Michiels and Dirk Roose (Eds.), A Proceedings volume from the 5th IFAC Workshop, Leuven, Belgium, 8-10 September 2004, Elsevier (2005) 233-238

  32. V. Rottschäfer and B. Krauskopf, A three-parameter study of external cavity modes in semiconductor lasers with optical feedback, in Wim Michiels and Dirk Roose (Eds.), A Proceedings volume from the 5th IFAC Workshop, Leuven, Belgium, 8-10 September 2004, Elsevier (2005) 239-244

  33. G. Orosz, R.E. Wilson and B. Krauskopf, Bifurcations in a car-following model with delay, in Wim Michiels and Dirk Roose (Eds.), A Proceedings volume from the 5th IFAC Workshop, Leuven, Belgium, 8-10 September 2004, Elsevier (2005) 245-250

  34. H. Erzgräber, D. Lenstra, and B. Krauskopf, Compound laser modes of mutually delay-coupled semiconductor lasers: bifurcation analysis of the locking region, Proceedings of IEEE/LEOS Benelux 2004, pp 147-150

  35. M.I. Wallace, J. Sieber, S.A. Neild, D.J. Wagg and B. Krauskopf, Delay differential equation models for real-time dynamic substructuring, Proceedings of ASME International Design Engineering Technical Conferences, Fifth International Conference on Multibody Systems, Nonlinear Dynamics and Control, Long Beach, USA, September 2005, Paper No. DETC2005-85010, 1-8.

  36. H. Erzgräber, D. Lenstra, and B. Krauskopf, Pure frequency oscillations of semiconductor lasers with filtered optical feedback, Proceedings of IEEE/LEOS Benelux 2005, pp 47-50

  37. D.A.W. Barton, B. Krauskopf and R.E. Wilson, Collocation schemes for periodic solutions of neutral delay differential equations, Proceedings of 6th IFAC workshop on Time-Delay Systems 2006

  38. G. Orosz, B. Krauskopf and R.E. Wilson, Traffic jam dynamics in a car-following model with reaction-time delay and stochasticity of drivers, Proceedings of 6th IFAC workshop on Time-Delay Systems 2006

  39. H. Erzgräber, D. Lenstra and B. Krauskopf, Stability of locking in mutually delay-coupled semiconductor lasers, Proceedings of SPIE 6184, 618407 (2006)

  40. K. Green and B. Krauskopf, Analysis of the external filtered modes of a semiconductor laser with filtered optical feedback, Proceedings of SPIE 6184, 61840U (2006)

  41. B. Krauskopf, H. Erzgräber and D. Lenstra, Dynamics of semiconductor lasers with filtered optical feedback, Proceedings of SPIE 6184, 61840V (2006)

  42. M. Radziunas, H.-J. Wünsche, B. Krauskopf and M. Wolfrum, External cavity modes in Lang-Kobayashi and traveling wave models, Proceedings of SPIE 6184, 61840X (2006)

  43. H. M. Osinga and B. Krauskopf, The Lorenz manifold: crochet and curvature, in R. Sarhangi and J. Sharp (Eds.), BRIDGES LONDON 2006: Mathematical Connections in Art, Music, and Science, Tarquin Publications (2006) 255-260

  44. J. Sieber and B. Krauskopf, Tracking nonlinear oscillations with time-delayed feedback, Modern Practice in Stress and Vibration Analysis VI, Applied Mechanics and Materials Vol. 5-6 (2006) 417-424 (http://www.scientific.net/)

  45. E. Coetzee, B. Krauskopf and M.L. Lowenberg, Nonlinear Aircraft Ground Dynamics, Proceedings of ICNPAA-2006: Mathematical Problems in Engineering and Aerospace Sciences, Budapest 2006

  46. K. Green, B. Krauskopf and D. Lenstra, Mode structure of a vertical-cavity surface-emitting laser subject to optical feedback, Proceedings of IEEE/LEOS Benelux 2006

  47. H. Erzgräber, B. Krauskopf, D. Lenstra, A.P.A. Fischer and G. Vemuri, Feedback phase sensitivity of a semiconductor laser subject to filtered optical feedback, Proceedings of IEEE/LEOS Benelux 2006

  48. B. Krauskopf and H.M. Osinga, Visualization of geodesic level sets on global manifolds, TopoInVis 2007

  49. H.M. Osinga, B. Krauskopf and E.J. Doedel, Visualizing the transition to chaos in the Lorenz system, TopoInVis 2007

  50. J. Sieber and B. Krauskopf, Control-based tracking of nonlinear oscillations, Proceedings of EUROMECH Colloquium 483: Geometrically Non-linear Vibrations of Structures, Porto 2007

  51. P. Słowiński, B. Krauskopf and S.M. Wieczorek, Mode structure of a semiconductor laser with feedback from two external filters, Proceedings of SPIE 6997 (2008)

  52. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Bifurcations of composite-cavity modes in multi-stripe laser arrays, Proceedings of SPIE 6997 (2008)

  53. K. Green and B. Krauskopf, Bifurcation analysis of a multi-transverse-mode VCSEL, Proceedings of SPIE 6997 (2008)

  54. B. Krauskopf and H. Erzgräber, Delay-coupled semiconductor lasers near locking: a bifurcation study, Proceedings of SPIE 6997 (2008)

  55. P. Thota, B. Krauskopf and M.L. Lowenberg, Shimmy in a nonlinear model of an aircraft nose landing gear with non-zero rake angle, Proceedings of ENOC2008, St. Peterburg

  56. J. Rankin, B. Krauskopf, M.L. Lowenberg and E. Coetzee, Operational parameter study of an aircraft turning on the ground, Proceedings of ECMI 2008, London

  57. B. Krauskopf, P. Thota and M.L. Lowenberg, Geometric nonlinearities of aircraft systems, Proceedings of ECMI 2008, London

  58. J. Rankin, E. Coetzee, B. Krauskopf and M.L. Lowenberg, Nonlinear ground dynamics of aircraft: bifurcation analysis of turning solutions, AIAA Modeling and Simulation Technologies Conference and Exhibit, 2008,, 10.2514/6.2008-6529

  59. P. Thota, B. Krauskopf and M.L. Lowenberg, Modeling of nose landing gear shimmy with lateral and longitudinal bending and a non-zero rake angle, AIAA Modeling and Simulation Technologies Conference and Exhibit, 2008,, 10.2514/6.2008-7099

  60. B. Krauskopf, H.M. Osinga and B. Storch, The sculpture Manifold: a band from a surface, a surface from a band, in R. Sarhangi and C. Séquin (Eds.), BRIDGES Leeuwarden 2008: Mathematical Connections in Art, Music, and Science, Tarquin Publications (2008) 9-14

  61. H. Erzgräber and B. Krauskopf, Multistability in a semiconductor laser subject to optical feedback from a Fabry-Perot filter, Proceedings of PhysCon 2009

  62. J. Rankin, B. Krauskopf, M.L. Lowenberg and E. Coetzee, Nonlinear analysis of lateral loading during ground manoeuvres, AIAA Modeling and Simulation Technologies Conference, 2009, 10.2514/6.2009-6225

  63. E. Coetzee, B. Krauskopf and M.L. Lowenberg, Application of bifurcation methods for the prediction of low-speed aircraft ground performance, AIAA Modeling and Simulation Technologies Conference, 2009, 10.2514/6.2009-6226

  64. P. Thota, B. Krauskopf, M.L. Lowenberg and E. Coetzee, Nonlinear analysis of the influence of tire inflation pressure on nose landing gear shimmy, AIAA Modeling and Simulation Technologies Conference, 2009, 10.2514/6.2009-6230

  65. H. Erzgräber, S.M. Wieczorek and B. Krauskopf, Locking of three coupled lasers, Proceedings of SPIE (2010)

  66. P. Słowiński, B. Krauskopf and S.M. Wieczorek, Solution structure and dynamics of a semiconductor laser subject to feedback from two external filters, Proceedings of SPIE Europe 7720 (2010)

  67. E. Coetzee, B. Krauskopf and M.L. Lowenberg, Analysis of medium-speed runway exit maneuvers, AIAA Modeling and Simulation Technologies Conference, 2010, 10.2514/6.2010-7616

  68. J.A. Knowles, B. Krauskopf and M.L. Lowenberg, Numerical continuation applied to landing gear mechanism analysis, AIAA Modeling and Simulation Technologies Conference, 2010, 10.2514/6.2010-7786

  69. V. Tzanov, S.A. Neild, B. Krauskopf and D.J. Wagg, Influence of damping on the vibration of an inclined cable subjected to support excitation, 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, ASME 2011 International Design Engineering Technical Conference, DETC2011-47323, pp. 1049-1055

  70. V. Tzanov, M.R. Marsico, D.J. Wagg, B. Krauskopf, S.A. Neild and J.H.G. Macdonald, Internal resonance between in-plane and out-of-plane modes of vibration of inclined cables subjected to vertical support excitation, Proceedings of Eurodyn 2011

  71. S.J. Gill, M.L. Lowenberg, B. Krauskopf, G. Puyou and E. Coetzee, Bifurcation analysis of the NASA GTM with a view to upset recovery, AIAA Atmospheric Flight Mechanics Conference, 2012, 10.2514/6.2012-4648

  72. C. Howcroft, B. Krauskopf, M.L. Lowenberg and S.A. Neild, Effects of freeplay on aircraft main landing gear stability, AIAA Atmospheric Flight Mechanics Conference, 2012, 10.2514/6.2012-4730

  73. N. Terkovics, S.A. Neild, M.L. Lowenberg, B. Krauskopf and S. Sharma, Bifurcation analysis of a coupled nose landing gear-fuselage system, AIAA Atmospheric Flight Mechanics Conference, 2012, 10.2514/6.2012-4731

  74. J.A. Knowles, B. Krauskopf, M.L. Lowenberg, S.A. Neild and P. Thota, Numerical continuation analysis of a dual-sidestay main landing gear mechanism, AIAA Atmospheric Flight Mechanics Conference, 2012, 10.2514/6.2012-4800

  75. H.M. Osinga and B. Krauskopf, How to crochet a space-filling pancake: the math, the art and what next, in G. Greenfield, G. Hart and R. Sarhangi (Eds.), BRIDGES Seoul 2014: Mathematical Connections in Art, Music, and Science, Tarquin Publications (2014), pp. 19–26

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