单变量驱动参数摄动混沌同步方法

Parameter Variation Chaotic Synchronization Method with Single Driving Variable

基于参数摄动混沌同步条件,结合反馈控制和自适应控制方法,提出了一种系统参数摄动的单变量驱动混沌同步的新方法。该方法无需参数辨识且无需知道全部驱动变量即可实现混沌同步,从而大大减少了混沌同步的约束条件。以Lorenz系统族作为研究对象,分析了系统达到同步时的充分条件,并通过理论加以证明。将该方法应用于统一混沌系统,数值仿真表明了该方法的有效性与可行性。

A new parameter variation chaotic synchronization method based on parameter variation chaotic synchronization conditions is persented.Only one variable of driving system is used in the method,feedback control and adaptive control methods are also used to guarantee the chaotic synchronization.The method need not parameter identification and use only part of variable of driving system which loosen the restriction conditions of chaotic synchronization.The Lorenz＇s group chaotic system is considered,theorem on the sufficient conditions for attaining chaotic synchronization has been proposed.The simulations have shown the effectiveness and feasibility of the method.