Complex dynamical behaviors of the chaotic Chen's system

被引：97
|
作者：
Zhou, TS [1 ]
Tang, Y
Chen, GR
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Chinese Acad Sci, Beijing 100080, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 09期
关键词：
chaos; Chen's system; Chen's attractor; trajectory;
D O I：
10.1142/S0218127403008089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the complex dynamical behaviors of the chaotic trajectories of Chen's system are analyzed in detail, with its precise bound derived for the first time. In particular, it is rigorously proved that all nontrivial trajectories of the system always travel alternatively through two specific Poincare projections for infinitely many times. The results provide an insightful understanding of the complex topological structure of Chen's chaotic attractor.
引用
收藏
页码：2561 / 2574
页数：14
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