ON THE NONEQUIVALENCE OF LORENZ SYSTEM AND CHEN SYSTEM

被引：26
|
作者：
Hou, Zhenting [1 ]
Kang, Ning [2 ]
Kong, Xiangxing [1 ]
Chen, Guanrong [3 ]
Yan, Guojun [4 ]
机构：
[1] Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
[2] Fuyang Teachers Coll, Sch Math & Computat Sci, Fuyang 236041, Anhui, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[4] Zhengzhou Univ, Dept Math, Zhengzhou 450000, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lorenz system; Chen system; smooth equivalence; topological equivalence;
D O I：
10.1142/S0218127410025612
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that the Chen system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters.
引用
收藏
页码：557 / 560
页数：4
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