Strange attractors in periodically-kicked limit cycles and Hopf bifurcations

被引：71

作者：

Wang, QD ^{[1
]}

Young, LS

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2003年 / 240卷 / 03期

关键词：

Dynamical System; Stationary Point; Chaotic Behavior; Strange Attractor; Periodic Time Interval;

D O I：

10.1007/s00220-003-0902-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the emergence of chaotic behavior in the form of horseshoes and strange attractors with SRB measures when certain simple dynamical systems are kicked at periodic time intervals. The settings considered include limit cycles and stationary points undergoing Hopf bifurcations.

引用

页码：509 / 529

页数：21