一类混沌系统的修正函数投影同步
Modified function projective synchronization of a class of chaotic systems
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摘要: 针对一类混沌系统,通过构造合适的响应系统,提出一种修正函数投影同步方法.基于单向耦合同步原理,给出了两种响应系统的设计方案,由于只需向响应系统传送一个驱动变量即可实现混沌修正函数投影同步,因而实用性更强.利用Lyapunov稳定性理论给出了相应的证明.最后以一个超混沌系统进行了数值仿真,仿真结果进一步表明该方法的有效性.Abstract: A general method of modifying function projective synchronization of a class of chaotic systems is proposed in this paper by designing a suitable response system.The two schemes of obtaining the response system from chaotic system are established based on unidirectional coupled synchronization.Since chaos synchronization can be achieved by transmitting only a single variable from driving system to response system,this method is more practical.The stability analysis in the paper is proved using Lyapunov stability theory.Numerical simulations of a hyperchaotic system verify the effectiveness of the proposed method.
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