中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20507-020507.doi: 10.1088/1674-1056/19/2/020507
陈增强1, 袁著祉1, 贾红艳2
Jia Hong-Yan(贾红艳)a)b)†, Chen Zeng-Qiang(陈增强)a)‡, and Yuan Zhu-Zhi(袁著祉)a)
摘要: By introducing an additional state feedback into a three-dimensional autonomous chaotic attractor Lü system, this paper presents a novel four-dimensional continuous autonomous hyper-chaotic system which has only one equilibrium. There are only 8 terms in all four equations of the new hyper-chaotic system, which may be less than any other four-dimensional continuous autonomous hyper-chaotic systems generated by three-dimensional (3D) continuous autonomous chaotic systems. The hyper-chaotic system undergoes Hopf bifurcation when parameter c varies, and becomes the 3D modified Lü system when parameter k varies. Although the hyper-chaotic system does not undergo Hopf bifurcation when parameter k varies, many dynamic behaviours such as periodic attractor, quasi periodic attractor, chaotic attractor and hyper-chaotic attractor can be observed. A circuit is also designed when parameter k varies and the results of the circuit experiment are in good agreement with those of simulation.
中图分类号: (High-dimensional chaos)