中国物理B ›› 2016, Vol. 25 ›› Issue (5): 50503-050503.doi: 10.1088/1674-1056/25/5/050503
Chao-Xia Zhang(张朝霞), Si-Min Yu(禹思敏)
Chao-Xia Zhang(张朝霞)1, Si-Min Yu(禹思敏)2
摘要: This paper aims at developing a novel method of constructing a class of multi-wing chaotic and hyperchaotic system by introducing a unified step function. In order to overcome the essential difficulties in iteratively adjusting multiple parameters of conventional multi-parameter control, this paper introduces a unified step function controlled by a single parameter for constructing various multi-wing chaotic and hyperchaotic systems. In particular, to the best of the authors' knowledge, this is also the first time to find a non-equilibrium multi-wing hyperchaotic system by means of the unified step function control. According to the heteroclinic loop Shilnikov theorem, some properties for multi-wing attractors and its chaos mechanism are further discussed and analyzed. A circuit for multi-wing systems is designed and implemented for demonstration, which verifies the effectiveness of the proposed approach.
中图分类号: (Control of chaos, applications of chaos)