混沌系统双向耦合同步性的研究

Research on synchronization of mutual coupling in chaotic systems

针对混沌系统中的两个常见的Lorenz系统和Rssler系统的同步性,以矩阵理论和Routh-Hurwitz准则为基础,提出了一种双向耦合的全局混沌同步方案。通过对两个系统选择适当的耦合参数,使得误差系统全局逐渐稳定,驱动系统和响应系统的状态达到同步。并利用Matlab软件进行数值仿真,结果显示,理论分析和仿真结果都表明了该方法的可行性和有效性。

Chaotic systems synchronization are discussed in detail using the two common systems： Lorenz system and Rssler system.For the two systems,based on matrix theory and Routh-Hurwitz criterion,this paper proposes a scheme of mutual coupling of global chaos synchronization.By choosing the appropriate coupling parameters of two systems,the global error of the system is gradually stable,the drive system and response system are in the synchronize state.And the numerical simulation results using the Matlab software show feasibility and effectiveness of the scheme.