Dynamical analysis of a chaotic system with two double-scroll chaotic attractors

被引：20

作者：

Liu, WB ^{[1
]}

Chen, GR

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China

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

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 03期

关键词：

chaos; bifurcation; multi-scroll attractor; compound structure of attractor;

D O I：

10.1142/S0218127404009715

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dynamical behaviors of a three-dimensional autonomous chaotic system with two double-scroll attractors are studied. Some basic properties such as bifurcation, routes to chaos, periodic windows and compound structure are demonstrated with various numerical examples. System equilibria and their stabilities are discussed, and chaotic features of the attractors are justified numerically.

引用

页码：971 / 998

页数：28

共 11 条

[1]

Chen G., 1998, CHAOS ORDER METHODOL

[2] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

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

[3] A three-dimensional autonomous system with unbounded 'bending' solutions [J].

Craik, ADD ;

Okamoto, H .

PHYSICA D-NONLINEAR PHENOMENA, 2002, 164 (3-4) :168-186

[4] ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].

ECKMANN, JP ;

RUELLE, D .

REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656

[5] Creation of a complex butterfly attractor using a novel lorenz-type system [J].

Elwakil, AS ;

Özoguz, S ;

Kennedy, MP .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (04) :527-530

[6] Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices [J].

Elwakil, AS ;

Kennedy, MP .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2001, 48 (03) :289-307

[7] A new chaotic system and its generation [J].

Liu, WB ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (01) :261-267

[8] Dynamical analysis of a new chaotic attractor [J].

Lu, JH ;

Chen, GR ;

Zhang, SC .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1001-1015

[9] The compound structure of Chen's attractor [J].

Lü, JH ;

Zhou, TS ;

Chen, GR ;

Zhang, SC .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (04) :855-858

[10] SHILNIKOV THEOREM - A TUTORIAL [J].

SILVA, CP .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (10) :675-682

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