一类超混沌系统电路实现及其动力学分析

针对如何生成超混沌信号问题,通过在一个3维混沌Lü系统的电路中简单地加载一个积分电路,实现了一类超混沌系统电路.电路仿真获得了这类系统的超混沌吸引子及混沌、周期和准周期吸引子.并对实验电路所对应的四维连续自治耗散系统方程进行了分析和数值仿真,论证了这些系统电路的超混沌现象及其动力学特性.提出的超混沌系统电路实现简单,具有工程应用价值.

A Class of Hyperchaotic System: Circuit Realization and Dynamics Analysis

In order to generate hyperchaotic signal, a class of hyperchaotic system circuits was realized by simply adding an integration circuit to a three-dimensional chaotic Lü system circuit. The hyperchaotic attractors along with chaotic, periodic and quasi-periodic attractors of these systems were obtained from circuit simulations. The corresponding continuous autonomous dissipative system equations were investigated theoretically and simulated numerically to verify the hyperchaotic and dynamical behaviors of the proposed hyperchaotic system circuits. The proposed hyperchaotic system circuits are easy to realize by adding only a few components, thus it may find practical applications.