Analytical and numerical investigation of a new Lorenz-like chaotic attractor with compound structures

被引：27
作者：
Cang, Shijian [1 ]
Wang, Zenghui [2 ]
Chen, Zengqiang [3 ]
Jia, Hongyan [4 ]
机构：
[1] Tianjin Univ Sci & Technol, Dept Ind Design, Tianjin 300457, Peoples R China
[2] Univ S Africa, Dept Elect & Min Engn, ZA-1710 Florida, South Africa
[3] Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China
[4] Tianjin Univ Sci & Technol, Dept Automat, Tianjin 300222, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 75卷 / 04期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
Lorenz-like system; Chaotic attractor; Hopf bifurcation; Crisis-induced intermittency; Compound structures; QUADRATIC AUTONOMOUS SYSTEM; CANONICAL FORM; CHUAS CIRCUIT; CHEMICAL-REACTIONS; FLUID-DYNAMICS; GENERATION; FLOW; BEATS; MAP;
D O I：
10.1007/s11071-013-1101-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper presents a three-dimensional autonomous Lorenz-like system formed by only five terms with a butterfly chaotic attractor. The dynamics of this new system is completely different from that in the Lorenz system family. This new chaotic system can display different dynamic behaviors such as periodic orbits, intermittency and chaos, which are numerically verified through investigating phase trajectories, Lyapunov exponents, bifurcation diagrams and Poincar, sections. Furthermore, this new system with compound structures is also proved by the presence of Hopf bifurcation at the equilibria and the crisis-induced intermittency.
引用
收藏
页码：745 / 760
页数：16
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