Bristol Centre for Applied Nonlinear Mathematics Engineering Mathematics home page University of Bristol home page

Applied Nonlinear Mathematics Preprint 2004.14

A survey of methods for computing (un)stable manifolds of vector fields

B. Krauskopf , H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz and O. Junge

Abstract

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.

pdf pdf copy of the paper (2Mb)

Valid HTML 4.01!