Hyperchaos evolved from the generalized Lorenz equation

被引：140

作者：

Li, YX

Tang, WKS

Chen, GR

机构：

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

[2] Guangdong Univ Technol, Electromech Engn Coll, Guangzhou, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS | 2005年 / 33卷 / 04期

关键词：

chaos; circuit implementation; generalized Lorenz system; hyperchaos;

D O I：

10.1002/cta.318

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this letter, a new hyperchaotic system is formulated by introducing an additional state into the third-order generalized Lorenz equation. The existence of the hyperchaos is verified with bifurcation analysis, and the bifurcation routes from periodic, quasi-periodic, chaotic and hyperchaotic evolutions are observed. Various attractors are illustrated not only by computer simulation but also by the realization of an electronic circuit. Copyright (c) 2005 John Wiley & Sons, Ltd.

引用

页码：235 / 251

页数：17

共 16 条

[1]

[Anonymous], INT J CIRC THEORY AP

[2] New 3D-scroll attractors in hyperchaotic Chua's circuits forming a ring [J].

Cafagna, D ;

Grassi, G .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (10) :2889-2903

[3] On a generalized Lorenz canonical form of chaotic systems [J].

Celikovsky, S ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08) :1789-1812

[4]

Cenys A, 2003, CHAOS SOLITON FRACT, V17, P349

[5]

Chen G., 1998, CHAOS ORDER METHODOL

[6] Guest Editorial [J].

Chen, HF ;

Zheng, DZ .

DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS, 1999, 9 (01) :7-8

[7] A systematic procedure for synchronizing hyperchaos via observer design [J].

Grassi, G ;

Mascolo, S .

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2002, 11 (01) :1-16

[8] Controlling hyperchaos of the Rossler system [J].

Hsieh, JY ;

Hwang, CC ;

Wang, AP ;

Li, WJ .

INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (10) :882-886

[9] Bridge the gap between the Lorenz system and the Chen system [J].

Lü, JH ;

Chen, GR ;

Cheng, DZ ;

Celikovsky, S .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12) :2917-2926

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

Lü, JH ;

Chen, GR .

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

← 1 2 →