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

B Krauskopf, HM Osinga, EJ Doedel, ME Henderson, JM Guckenheimer, A Vladimirsky, M Dellnitz, O Junge

Research output: Contribution to journalArticle (Academic Journal)peer-review

203 Citations (Scopus)

Abstract

The computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global table 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.
Translated title of the contributionA survey of methods for computing (un)stable manifolds of vector fields
Original languageEnglish
Pages (from-to)763 - 791
Number of pages29
JournalInternational Journal of Bifurcation and Chaos
Volume15 (3)
DOIs
Publication statusPublished - Mar 2005

Bibliographical note

Publisher: World Scientific Publ Co Pte Ltd
Other: Also appeared in EJ Doedel, G Domokos & IG Kevrekidis (Eds), Modelling & Computations in Dynamical Systems, World Scientific Series on Nonlinear Science B13 (2006) featured on the cover!

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