RANDOM PERTURBATIONS OF HETEROCLINIC ATTRACTORS

被引：128

作者：

STONE, E

HOLMES, P

机构：

[1] CORNELL UNIV,DEPT THEORET & APPL MECH,ITHACA,NY 14853

[2] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853

[3] CORNELL UNIV,CTR APPL MATH,ITHACA,NY 14853

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1990年 / 50卷 / 03期

关键词：

D O I：

10.1137/0150043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Estimates are derived for the mean recurrence time of orbits in the neighborhood of an attracting homoclinic orbit or heteroclinic cycle in an ordinary differential equation, subject to small additive random noise. The theory presented is illustrated with numerical simulations of several systems, including ones invariant under symmetry groups, for which such heteroclinic attractors are structurally stable. The physical implications of the work presented are briefly discussed.

引用

页码：726 / 743

页数：18