A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system

被引：79

作者：

Chen, Zengqiang ^{[1
]}

Yang, Yong ^{[1
]}

Yuan, Zhuzhi ^{[1
]}

机构：

[1] Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 38卷 / 04期

基金：

高等学校博士学科点专项科研基金;

关键词：

D O I：

10.1016/j.chaos.2007.01.058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This letter presents a new three-dimensional smooth quadratic autonomous chaotic system, which can involve into periodic and chaotic orbits in case of different parameters. When proper parameters are chosen, a single four-wing attractor and a single three-wing attractor are generated. The further analysis shows that the two separated attractors coexisted with different initial conditions. Basic properties of the new system were also analyzed by means of Lyapunov exponents, bifurcation diagrams and Poincare map. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1187 / 1196

页数：10

共 21 条

[11]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[12]

[13] A new chaotic system and beyond:: The generalized Lorenz-like system [J].

Lü, JH ;

Chen, GR ;

Cheng, DZ .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (05) :1507-1537

[14] Four-wing attractors: From pseudo to real [J].

Qi, Guoyuan ;

Chen, Guanrong ;

Li, Shaowen ;

Zhang, Yuhui .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (04) :859-885

[15] On a four-dimensional chaotic system [J].

Qi, GY ;

Du, SZ ;

Chen, GR ;

Chen, ZQ ;

Yuan, ZZ .

CHAOS SOLITONS & FRACTALS, 2005, 23 (05) :1671-1682

[16] Simplest dissipative chaotic flow [J].

Sprott, JC .

PHYSICS LETTERS A, 1997, 228 (4-5) :271-274

[17] GENERATION OF N-DOUBLE SCROLLS (N = 1, 2, 3, 4, . . .) [J].

SUYKENS, JAK ;

VANDEWALLE, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (11) :861-867

[18]

Wiggins S, 1990, INTRO APPL NONLINEAR, DOI 10.1007/b97481

[19] Families of scroll grid attractors [J].

Yalçin, ME ;

Suykens, JAK ;

Vandewalle, J ;

Özoguz, S .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (01) :23-41

[20] Generate n-scroll attractor in linear system by scalar output feedback [J].

Yang, XS ;

Li, QD .

CHAOS SOLITONS & FRACTALS, 2003, 18 (01) :25-29

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