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

被引：0
作者：
Shijian Cang
Zenghui Wang
Zengqiang Chen
Hongyan Jia
机构：
[1] Tianjin University of Science and Technology,Department of Industry Design
[2] University of South Africa,Department of Electrical and Mining Engineering
[3] Nankai University,Department of Automation
[4] Tianjin University of Science and Technology,Department of Automation
来源：
Nonlinear Dynamics | 2014年 / 75卷
关键词：
Lorenz-like system; Chaotic attractor; Hopf bifurcation; Crisis-induced intermittency; Compound structures;
D O I：
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学科分类号：
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 Poincaré 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.
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页码：745 / 760
页数：15
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