离散映射混沌系统的关联耦合同步

研究了驱动和响应系统为相同混沌系统、初值或参数不同时的同步问题。提出了关联耦合同步方法，通过对驱动与响应系统进行耦合，实现两个混沌系统的同步。并且，可以实施间歇性控制，减少控制代价。以logistic映射为例进行了计算机仿真研究，仿真结果证实了该方法对实现离散映射混沌系统同步的有效性。
关 键 词 混沌系统; 关联耦合; 同步; 离散映射

Abstract The synchronization of the drive system and response system which are described by the same chaotic systems but have different initial values or parameters is studied in this paper. A correlative coupling method of synchronizing chaos is proposed. Coupling these two systems each other can synchronize the drive system and response system. Furthermore, the intermittent control can be used to reduce the control cost. A computer simulation on two logistic maps is conducted. The simulation results illustrate the effectiveness of the proposed method for realizing the synchronization of discrete mapping chaotic systems.
Key words chaotic system; correlative coupling; synchronization; discrete mapping