Lorenz混沌系统族耦合下的串行广义同步研究

Lorenz三维自治混沌系统族概念自提出后，一直是混沌和控制领域研究热点。文中针对混沌系统族的差值耦合研究了耦合混沌系统的广义同步现象，利用差分方程采用串行工作方式求解广义同步。实验结果证明Lorenz混沌系统的同步性，并且只有当参数a=0．8时，两个耦合系统实现稳定；同时根据研究成果给出进一步研究目标。

Serial General Synchronization of Lorenz Chaotic Family System

Lorenz three-dimensional autonomous system family, since proposed, has always been the focus of chaotic and controlling area. In this paper, aiming at the different value coupling of coupling chaotic system, the general synchronous phenomena of coupling chaotic system is studied. To solve general synchronization by serial working methods, the differential equations are used. Experimental results show that the synchronization of Lorenz chaotic system, and the two coupling system can achieve stability only when the parameters a is equal to 0.8. And, based on the experimental results, this paper also gives the further research goal.