On a 3-D generalized Hamiltonian model with conservative and dissipative chaotic flows

被引：30

作者：

Cang, Shijian ^{[1
,2
]}

Wu, Aiguo ^{[1
]}

Wang, Zenghui ^{[3
]}

Chen, Zengqiang ^{[4
]}

机构：

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

[2] Tianjin Univ Sci & Technol, Dept Ind Design, Tianjin 300457, Peoples R China

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

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

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 99卷

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Generalized Hamiltonian system; 3-D dynamical system; Chaos; Lyapunov exponents; CANONICAL DYNAMICS; SYSTEM; ATTRACTORS; ORDER;

D O I：

10.1016/j.chaos.2017.03.046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the generalized Hamiltonian system, a new method for constructing a class of three-dimensional (3-D) chaotic systems is presented in this paper. After choosing the proper parameters of skew-symmetric matrix, dissipative matrix and external input, one smooth 3-D chaotic system is proposed to show the effectiveness of the proposed method. Numerical simulation techniques, including phase portraits, Poincare sections, Lyapunov exponents and bifurcation diagram, illustrate that the proposed 3-D system has periodic, quasi-periodic and chaotic flows under the conditions of different parameters. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：45 / 51

页数：7

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