新三维混沌系统及其电路仿真实验

A new chaotic system and its circuit simulation

提出了一个混沌系统,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Lyapunov指数、Lyapunov维数,给出了Poincaré映射图以及时域图和相图.运用电子工作平台EWB软件对实现该新混沌系统的振荡器电路进行了仿真实验.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.

In this paper a new chaotic system is presented. Some basic dynamical properties are investigated. The oscillator circuit relizing the new chaotic system is simulated using Electronics Workbench （EWB）. Continuous spectrum, Lyapunov exponents, fractal dimension and strange attractor of the system are studied.