离散的单向耦合系统的完全同步

Complete Synchronization of Discrete Unidirectional Coupled System

研究了一个两维的单向耦合动力系统的完全同步,通过引进变量变换,将两维系统同步状态的稳定性研究转化为讨论同步轨道的横截方向的稳定性 从横向稳定性条件出发,求出了同步强弱与耦合参数之间的关系式,发现了此动力系统的许多与同步行为相关的令人感兴趣的现象。

The complete synchronization of a twodimensional unidirectional coupled system is discussed. By introducing new variables, the problem of stability of the synchronous state of the system can be transformed into the transverse stability problem of the synchronous orbits. From the transverse stability condition, the equation of the synchronous strength and the coupling parameters are derived. The analytical results are compared to the numerical ones. Good agreement is achieved.