A general method for exploring three-dimensional chaotic attractors with complicated topological structure based on the two-dimensional local vector field around equilibriums

被引：17

作者：

Cang, Shijian ^{[1
,2
]}

Wu, Aiguo ^{[1
]}

Wang, Zhonglin ^{[3
]}

Wang, Zenghui ^{[4
]}

Chen, Zengqiang ^{[5
]}

机构：

[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China

[2] Tianjin Univ Sci & Technol, Dept Prod Design, Sch Elect Informat & Automat, Tianjin 300457, Peoples R China

[3] Binzhou Univ, Dept Phys & Elect Sci, Binzhou 256604, Peoples R China

[4] Univ S Africa, Dept Elect & Min Engn, ZA-1710 Florida, South Africa

[5] Nankai Univ, Coll Comp & Control Engn, Tianjin 300071, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 83卷 / 1-2期

基金：

新加坡国家研究基金会;

关键词：

Index theory; Topological structure; Multi-wing chaotic attractor; Lyapunov exponents; QUADRATIC AUTONOMOUS SYSTEM; COMMUNICATION-SYSTEM; CIRCUIT; IMPLEMENTATION; SYNCHRONIZATION; DESIGN; BEATS;

D O I：

10.1007/s11071-015-2388-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper proposed a new method for exploring three-dimensional chaotic attractors with complicated topological structure. Based on the index theory, the theoretical foundation of the new method is explained clearly and concisely, and the feasibility of this method is progressively illustrated by a multi-wing three-dimensional chaotic attractor derived from a two-dimensional continuous autonomous dynamical system with thirteen equilibrium points. Moreover, the experimental results are also discussed. To validate the generalization ability of the proposed method, another two chaotic systems are constructed based on the proposed method. The numerical results show the effectiveness of the proposed method.

引用

页码：1069 / 1078

页数：10

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