Rank one chaos in a class of planar systems with heteroclinic cycle

被引：11
|
作者：
Chen, Fengjuan [1 ,2 ]
Han, Maoan [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
CHAOS | 2009年 / 19卷 / 04期
关键词：
STRANGE ATTRACTORS;
D O I：
10.1063/1.3263945
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study rank one chaos in a class of planar systems with heteroclinic cycle. We first find a stable limit cycle inside the heteroclinic cycle. We then add an external periodic forcing to create rank one chaos. We follow a step-by-step procedure guided by the theory of rank one chaos to find experimental evidence of strange attractors with Sinai, Ruelle, and Bowen measures. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3263945]
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页数：5
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