Crocheting the
Lorenz manifold
Hinke M. Osinga & Bernd Krauskopf The Mathematical Intelligencer 26(4): 25-37, 2004 | |
This paper cannot be downloaded, but the preprint containing the crochet instructions is available |
The Lorenz manifold as a collection of geodesic level sets
Bernd Krauskopf & Hinke M. Osinga Nonlinearity 17(1): C1-C6, 2004 | |
This paper and associated animations are accessible subject to subscription, but you can view a copy of the multimedia supplement | |
Visualizing the structure of chaos in the Lorenz system
Hinke M. Osinga & Bernd Krauskopf Computers & Graphics 26(5): 815-823, 2002 | |
This paper is accessible subject to subscription, but the preprint can be downloaded for free. |
A survey of methods for computing (un)stable
manifolds of vector fields
Bernd Krauskopf, Hinke M. Osinga, Eusebius J. Doedel, Michael E. Henderson, John M. Guckenheimer, Alexander Vladimirsky, Michael Dellnitz & Oliver Junge Int. J. Bifurcation & Chaos 15(3): 763-791, 2005 | |||
This paper is accessible subject to subscription, but the preprint can be downloaded for free. | |||
Computing
geodesic level sets on global (un)stable manifolds of vector fields
Bernd Krauskopf & Hinke M. Osinga SIAM Journal on Applied Dynamical Systems 2(4): 546-569, 2003 | |||
This paper and associated animations are accessible subject to subscription, but see the preprint and an older version of the multimedia material; two animations showing the Lorenz manifold are linked from the images on the right. | |||
Two-dimensional global manifolds of vector fields
Bernd Krauskopf & Hinke M. Osinga Chaos 9(3): 768-774, 1999 | |||
This paper comes with a dedicated multimedia supplement that can be accessed for free; the text is accessible subject to subscription, but the preprint can be downloaded for free. | |||
Globalizing two-dimensional unstable manifolds of maps
Bernd Krauskopf & Hinke M. Osinga Int. J. Bifurcation & Chaos 8(3): 483-503, 1998 | |||
This paper contains our first image of the Lorenz manifold; it is accessible subject to subscription, but a multimedia electronic preprint can be viewed for free. |