Dynamical analysis of a new chaotic attractor

被引：228

作者：

Lu, JH ^{[1
]}

Chen, GR

Zhang, SC

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 05期

关键词：

chaos; Chen's system; Lorenz system;

D O I：

10.1142/S0218127402004851

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dynamical behaviors of a new chaotic attractor is investigated in this paper. Some basic properties, bifurcations, routes to chaos, and periodic windows of the new system are studied either analytically or numerically. Meanwhile, the transition between the Lorenz attractor and Chen's attractor through the new system is explored.

引用

页码：1001 / 1015

页数：15

共 16 条

[1] Synchronization of Rossler and Chen chaotic dynamical systems using active control [J].

Agiza, HN ;

Yassen, MT .

PHYSICS LETTERS A, 2001, 278 (04) :191-197

[2]

[Anonymous], 2002, CHAOTIC TIME SERIES

[3]

CELIKOVSKY S, 2002, IN PRESS INT J BIFUR

[4]

Chen G., 1998, CHAOS ORDER METHODOL

[5] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466

[6] The adaptive control of Chen's chaotic system [J].

Guan, XP ;

Fan, ZP ;

Peng, HP ;

Wang, YQ .

ACTA PHYSICA SINICA, 2001, 50 (11) :2108-2111

[7]

LIU ZR, 2002, NONEQUIVALENCE LOREZ

[8] A new chaotic attractor coined [J].

Lü, JH ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661

[9]

Sparrow C., 1982, LORENZ EQUATIONS BIF

[10] Bifurcation analysis of Chen's equation [J].

Ueta, T ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (08) :1917-1931

← 1 2 →