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Category: Software for continuation

AUTO 2000

AUTO is a software package for continuation and bifurcation problems in ordinary differential equations. The package includes HomCont, algorithms for the bifurcation analysis of homoclinic orbits. Originally, AUTO was written in Fortran; see the AUTO 97 homepage.

Randy Paffenroth developed a C and Python version, AUTO 2000, with lots of nice extra features, like a 3D data viewer, for example.

The latest user manual is for AUTO 2000. See below for older versions.

Contact persons for AUTO 2000 are
	Randy Paffenroth (redrod@users.sourceforge.net) and
	Sebius Doedel ( doedel@cs.concordia.ca)
HomCont is written by :	Alan Champneys ( a.r.champneys@bristol.ac.uk),
	Yuri Kuznetsov ( Yu.Kuznetsov@math.uu.nl), and
	Björn Sandstede (sandsted@math.ohio-state.edu)

References

• E.J. Doedel, R.C. Paffenroth, A.R. Champneys, T.F. Fairgrieve, Yu.A. Kuznetsov, B. Sandstede & X. Wang (2001)
  "AUTO 2000: Continuation and bifurcation software for ordinary differential equations (with HomCont)" (see the homepage for downloads)
  Technical Report, Caltech, February 2001.
  
  
• E.J. Doedel, A.R. Champneys, T.F. Fairgrieve, Yu.A. Kuznetsov, B. Sandstede & X. Wang (1997)
  "AUTO97: Continuation and bifurcation software for ordinary differential equations (with HomCont)" (Postscript, PDF)
  Technical Report, Concordia University, 1997.
  
  
• A.R. Champneys, Yu.A. Kuznetsov & B. Sandstede (1996)
  "A numerical toolbox for homoclinic bifurcation analysis"
  Int. J. Bifurcation & Chaos 6 : 867-887.
  
  
• E.J. Doedel, H.B. Keller & J.P. Kernévez (1991)
  "Numerical analysis and control of bifurcation problems: (II) Bifurcation in infinite dimensions"
  Int. J. Bifurcation & Chaos 1(4) : 745-772
  
  
• E.J. Doedel, H.B. Keller & J.P. Kernévez (1991)
  "Numerical analysis and control of bifurcation problems: (I) Bifurcation in finite dimensions"
  Int. J. Bifurcation & Chaos 1(3) : 493-520
  
  
• E.J. Doedel & J.P. Kernévez (1986)
  "AUTO: Software for continuation problems in ordinary differential equations with applications"
  Technical report, Applied Mathematics, California Institute of Technology
  
  
• E.J. Doedel (1981)
  "AUTO, a program for the automatic bifurcation analysis of autonomous systems"
  Cong. Numer. 30 : 265-384