存在参数扰动的超混沌系统的自适应同步

摘要

This paper analyzes the synchronizations for hyperchaotic systems with disturbance of parameter.Based on Lyapunov stability theory,an adaptive controller is designed.Theoretically it is proved that the controller can realize self-synchronization of Qi hyperchaotic system with parameter perturbations and the synchronization of Qi hyperchaotic system and hyperchaotic Lorenze systems with different strcutures.Finatly,a numerical simulation further validates the effectiveness of the proposed scheme.%研究了存在参数扰动的超混沌系统的自适应同步问题.基于Lyapunov稳定性理论,设计了自适应控制器,从理论上证明了该控制器可以实现存在参数扰动下超混沌Qi系统的自同步,以及超混沌Qi系统和超混沌Lorenze系统间的异结构同步.最后数值仿真实验进一步验证了所提出方案的有效性.