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

نویسندگان

  • Bernd Krauskopf
  • Hinke M. Osinga
  • Eusebius J. Doedel
  • Michael E. Henderson
  • John Guckenheimer
  • Alexander Vladimirsky
  • Michael Dellnitz
  • Oliver Junge
چکیده

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.

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2005