空间交替Julia集的反馈控制与线性广义同步

摘要

In this paper, the spatial-alternated Julia sets are discussed, which are obtained by alternated iteration of quadratic family zm+1,n+azm,n+1 = (1+a)2z2m,n+ci, i = 1, 2. The control of spatial-alternated Julia sets is accomplished by using the feedback control. Then the linear generalized synchronization of two different spatial-alternated Julia sets is discussed. The simulations demonstrate the effectiveness of the control methods.%讨论了由空间交替系统迭代产生的空间交替Julia集。空间交替Julia集是由交替的复动力系统zm+1,n+azm,n+1=(1+a)2z2mn+ci, i =1,2迭代产生的,且通过辅助反馈控制方法实现了对空间交替Julia集的控制。同时利用线性反馈的方法,实现了不同空间交替Julia集之间的线性广义同步。仿真结果验证了控制和同步方法的有效性。