A novel four-wing chaotic attractor generated from a three-dimensional quadratic autonomous system

• 来源期刊: 中国物理B（英文版）
• 关键词: chaos four-wing chaotic attractor bifurcation analysis chaotic circuit
• 年，卷（期）: 2009,（7）
• 页码范围: 2680-2689
• 页数: 10页
• 语种: 英文

摘要

This paper presents a new 3D quadratic autonomous chaotic system which contains five system parameters and three quadratic cross-product terms, and the system can generate a single four-wing chaotic attractor with wide parameter ranges. Through theoretical analysis, the Hopf bifurcation processes are proved to arise at certain equilibrium points. Numerical bifurcation analysis shows that the system has many interesting complex dynamical behaviours; the system trajectory can evolve to a chaotic attractor from a periodic orbit or a fixed point as the proper parameter varies.Finally, an analog electronic circuit is designed to physically realize the chaotic system; the existence of four-wing chaotic attractor is verified by the analog circuit realization.