中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2680-2689.doi: 10.1088/1674-1056/18/7/010
陈增强1, 袁著祉1, 董恩增2, 陈在平2
Dong En-Zeng(董恩增)a)† , Chen Zai-Ping(陈在平)a), Chen Zeng-Qiang(陈增强)b), and Yuan Zhu-Zhi(袁著祉)b)
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.
中图分类号: (Numerical simulations of chaotic systems)