摘要
提出了基于Liu混沌系统生成多翅膀蝴蝶吸引子的新方法。主要的设计思想是增加系统第二类鞍焦点的数目。用多分段二次函数作代换,设计了改进的混沌系统,获得多个第二类鞍焦点,从而生成多翅膀蝴蝶吸引子。理论分析表明每一个第二类平衡点与蝴蝶吸引子的翅膀相对应。数值仿真证实提出的方法的可行性和有效性。
This paper initiates a novel approach to generate multi-wing butterfly attractor from the Liu chaotic system.The main idea is to increase the number of index-2saddle-focus of chaotic system.By substitution of multi-segment quadratic function,the Liu′s chaotic system is designed to create many index-2saddle-focus and generate multi-wing butterfly attractor.Theoretical analysis shows that every index-2equilibrium point corresponds to unique wing in the butterfly attractor.The simulation demostrates the feasibility and effectiveness of the proposed method.
出处
《复杂系统与复杂性科学》
EI
CSCD
北大核心
2016年第1期91-94,共4页
Complex Systems and Complexity Science
基金
国家自然科学基金(11172215
81271513)
