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

被引：188

作者：

Krauskopf, B

Osinga, HM

Doedel, EJ

Henderson, ME

Guckenheimer, J

Vladimirsky, A

Dellnitz, M

Junge, O

机构：

[1] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England

[2] Concordia Univ, Dept Comp Sci, Montreal, PQ H3G 1M8, Canada

[3] IBM Res, Yorktown Hts, NY 10598 USA

[4] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

[5] Univ Paderborn, Inst Math, D-33095 Paderborn, Germany

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 03期

关键词：

stable and unstable manifolds; numerical methods; Lorenz equations;

D O I：

10.1142/S0218127405012533

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：763 / 791

页数：29

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