一种分段线性超混沌同步系统的解析设计

ANALYTICAL DESIGN OF THE SYNCHRONIZED PIECEWISE LINEAR HYPERCHAOTIC SYSTEMS

针对一种４维分段线性（４Ｄ－ＭＰＬ）超混沌系统进行了同步系统的设计，所采用的线性反馈设计方法本质上是一种基于ＡＰＤ原理的同步系统的构造方法．在设计过程中我们获得了耦合参数和ＣＬＥ之间的解析关系式，从而可以对同步系统的ＣＬＥ任意设置．此同步系统可应用于保密通信，解析分析和模拟结果都证明了该同步系统的优越性．

We design a unidirectional coupling between two hyperchaotic circuits named 4D manifold piecewise linear hyperchaos generator (4DMPL). The linear feedback scheme we adopt here to construct hyperchaotic synchronized systems can be considered as a special case of activepassive decomposition (APD). In our design, the relation between the coupling parameters and the CLEs is obtained analytically, and thus it is very convenient to set any desired negative numbers as the CLEs, which will lead to stable synchronous motion according to the APD mechanism. In regard to its application to secure communication, several advantages are testified by numerical simulation together with corresponding theoretical explanation.