A Survey of Methods for Computing (un)Stable Manifolds of Vector Fields

著者: Bernd Krauskopf, Hinke M. Osinga, Eusebius J. Doedel, Michael E. Henderson, John Guckenheimer, Alexander Vladimirsky, Michael Dellnitz, Oliver Junge - International Journal of Bifurcation and Chaos 2005 被引用: 268

The computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global stable or unstable manifold of a vector field, where we concentrate on the case of a two-dimensional manifold. All methods are illustrated with the same example — the two-dimensional stable manifold of the origin in the Lorenz system.