Parameter selection in complete synchronization for coupled chaotic system
关于耦合混沌系统完全同步的参数选择

The instantaneous eigenvalues are used as indicators of complete synchronization quality in coupled chaotic system.Unfortunately,the synchronization is lost when the stability's criterion of linear constant coefficient system is employed,even if the eigenvalues of the linearized synchronization dynamics have negative real parts everywhere on the attractor.However,by using the criterion of the stability of time-varying systems,the synchronization state is stable when the range of the parameters in a vector coupling function is given.Moreover,the analytic method is tested in coupled Rssler and Lorenz system,and the numerical results demonstrate the effectiveness of the theoretical analysis.