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Analytical and numerical investigation of a new Lorenz-like chaotic attractor with compound structures |
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| Authors: | Shijian Cang Zenghui Wang Zengqiang Chen Hongyan Jia |
| Institution: | 1. Department of Industry Design, Tianjin University of Science and Technology, Tianjin, 300457, P.R. China 2. Department of Electrical and Mining Engineering, University of South Africa, Florida, 1710, South Africa 3. Department of Automation, Nankai University, Tianjin, 300071, P.R. China 4. Department of Automation, Tianjin University of Science and Technology, Tianjin, 300222, P.R. China |
| Abstract: | 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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