A survey of method's for computing (un)stable manifold of vector fields

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

Research output: Contribution to JournalArticleAcademicpeer-review


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.
Original languageEnglish
Pages (from-to)763-791
Number of pages29
JournalInternational Journal of Bifurcation and Chaos
Issue number3
Publication statusPublished - 2005


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