利用单模激光Lorenz系统实现异结构混沌系统混沌同步

Synchronization between two different chaotic systems using the single-mode laser Lorenz system

对混沌同步问题进行了研究。设计了一种同步控制器来实现异结构混沌系统之间的混沌同步。减少了控制器的数量,仅用一个控制器就能实现这一同步控制。同时,控制器只需在目标和响应系统中提取一个易提取信号即可实现,从而大大降低了同步代价,便于实际应用。以单模激光Lorenz系统和coullet系统为例,验证了这种控制器的有效性。仿真模拟结果表明,在控制器的作用下,coullet系统所有状态变量严格地跟踪了单模激光Lorenz系统的混沌轨迹,两者迅速地达到完全同步。该设计的控制方法可用于任意混沌系统,具有一定的普适性。

Chaotic synchronization is studied.A controller is designed to realize synchronization between two different chaotic systems.The number of the controllers is reduced,and only one controller is needed to realize synchronization.Meanwhile,the controller is based on only one signal which is easily picked up in the target and the response systems respectively,which is convenient for practical.Single-mode laser Lorenz system and coullet system are taken as examples to verify the effectiveness of the proposed method.Simulation results show that when controller is added,all the state variables of the coullet system can be synchronized with those of the single-mode laser Lorenz system.The method is proper to any chaotic systems,and it can be generally used.