一个新四维自治超混沌系统及其电路实现  

A new four-dimensional hyperchaotic system and its circuit simulation

作　　者：唐良瑞[1] 李静[1] 樊冰[1] 

机构地区：[1]华北电力大学电气与电子工程学院,北京102206

出　　处：《物理学报》2009年第3期1446-1455,共10页Acta Physica Sinica

摘　　要：提出了一个新的四维超混沌系统,并对该系统的基本动力学特性进行了深入研究,得到该系统的LE,LE维数,给出了Poincare映射图、LE谱、分岔图以及时域图和相图.利用Mutisim软件设计了该新混沌系统的振荡电路并进行了仿真实验.经过数值仿真和电路系统仿真证实该系统与以往发现的混沌吸引子并不拓扑等价,属于新的混沌系统.A new four-dimensional chaotic system is reported in this paper.Basic dynamic properties of the new system are investigated via theoretical analysis,numerical simulation,Lyapunov exponent,Lyapunov dimension and Poincare diagrams. Finally the chaotic circuit is designed and realized by the Multisim software. It confirms that the chaotic system is different from the exisiting chaotic systems and is a new hyperchaotic system.

关 键 词：超混沌系统 LYAPUNOV指数 Poincare截面图 电路实现 

分 类 号：O415.5[理学—理论物理] TP183[理学—物理]