一个新非自治超混沌四维二次系统及其电路实现

Circuit Implementation for a New Non-Autonomous Hyper-Chaotic Four-Dimensional Quadratic System

在三维二次混沌系统的基础上增加一个含控制信号的状态变量,组成一个新的非自治超混沌四维二次系统.该系统的基本动力学特性的变化主要依赖于控制信号频率的改变.通过系统的Lyapunov指数谱、分岔图及数值仿真表明,在不同的频率参数下,该系统能够体现周期、拟周期、混沌、超混沌的动力学特性.最后设计了一个模拟电路,进一步验证了其特性.

Based on the three-dimensional quadratic chaos system, this paper constructs a new fourdimen sional quadratic non-autonomous hyperchaos system by adding a state variable with the controlling signal. The change in the basic dynamics characters of this system is mainly realized by varying the frequency of the controlling signal. The different chaos dynamics characters of this system such as periodicity, quasi periodicity, chaos and hyperchaos at different frequencies is shown by Lyapunov spectrum , bifurcation diagram and numerical simulation. The results of the experiment are further shown to be consistent with the numerical simulation bv designing an anlog electronic eiruit.