异结构超混沌系统动力学分析和同步控制策略研究

基于混沌同步控制理论研究,结合同步控制与线性反馈控制方法,提出一种针对异结构超混沌系统的同步控制策略.在Chua混沌系统和Chen混沌系统理论研究基础上,通过增加两个反馈控制器得到两个异结构五阶混沌系统,对其进行动力学分析,证实其为五阶超混沌系统,并基于Mathmatic环境下对其模型进行数值仿真,得到其平面相图.采用全状态投影同步方法实现对其同步控制,并用龙格库塔算法进行数值模拟,证实该同步方法有效可行.

Different structure hyperchaos system dynamics analysis and synchronous control strategy research

Based on the chaos synchronization control theory research,and combined with the simultaneous control and linear feedback control method,this paper put forward a control strategy for the synchronization of different structure hyperchaotic system. On the basis of Chua chaos system and Chen chaos system theory research, two different structure five order chaotic systems were obtained by adding two feedback controllers,and the dynamics analysis confirmed that they were the fifth-order hyperchaotic system,whose plane phase diagrams were obtained by numerical simulation in Mathmatic environment. By adopting the Full State Hybird Projective Synchronization,their simultaneous synchronization control can be achieved,and the Runge -Kutta algorithm was used to numerically simulate the control,which confirmed that the synchronization method was effective and feasible.