Hopf bifurcation analysis of a new modified hyperchaotic Lu system

被引：8

作者：

Deng, Kuibiao ^{[1
]}

Yu, Simin ^{[1
]}

机构：

[1] Guangdong Univ Technol, Coll Automat, Gangzhou 510006, Peoples R China

来源：

OPTIK | 2013年 / 124卷 / 23期

基金：

中国国家自然科学基金;

关键词：

Hopf bifurcation; Hyperchaos; Normal form; Stability;

D O I：

10.1016/j.ijleo.2013.05.011

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The Hopf bifurcation of a new modified hyperchaotic Lu system with only one equilibrium is investigated in this paper. A detailed set of conditions are derived, which guarantee the existence of the Hopf bifurcation. Furthermore, by applying the normal form theory, the direction and type of the Hopf bifurcation, and the approximate expressions of bifurcating periodic solutions and their periods are determined. In addition, numerical simulation results supporting the theoretical analysis are given. (C) 2013 Elsevier GmbH. All rights reserved.

引用

页码：6265 / 6269

页数：5

共 17 条

[1] HYPERCHAOS FROM CELLULAR NEURAL NETWORKS [J].

ARENA, P ;

BAGLIO, S ;

FORTUNA, L ;

MANGANARO, G .

ELECTRONICS LETTERS, 1995, 31 (04) :250-251

[2]

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

[3]

Hassard B.D., 1982, THEORY APPL HOPF BIF

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

Hsieh, JY ;

Hwang, CC ;

Wang, AP ;

Li, WJ .

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

[5] Hyperchaotic synchronization in deterministic small-world dynamical networks [J].

Jiang, PQ ;

Wang, BH ;

Bu, SL ;

Xia, QH ;

Luo, XS .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2004, 18 (17-19) :2674-2679

[6] HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA CIRCUITS [J].

KAPITANIAK, T ;

CHUA, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (02) :477-482

[7] A note on Hopf bifurcation in Chen's system [J].

Li, CP ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (06) :1609-1615

[8] HYPERCHAOS - LABORATORY EXPERIMENT AND NUMERICAL CONFIRMATION [J].

MATSUMOTO, T ;

CHUA, LO ;

KOBAYASHI, K .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11) :1143-1147

[9] DETUNED LASERS AND THE COMPLEX LORENZ EQUATIONS - SUBCRITICAL AND SUPERCRITICAL HOPF BIFURCATIONS [J].

NING, CZ ;

HAKEN, H .

PHYSICAL REVIEW A, 1990, 41 (07) :3826-3837

[10] EQUATION FOR HYPERCHAOS [J].

ROSSLER, OE .

PHYSICS LETTERS A, 1979, 71 (2-3) :155-157

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