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中国物理学会期刊

空间交替Julia集的反馈控制与线性广义同步

CSTR: 32037.14.aps.63.060503

Feedback control and linear generalized synchronization of spatial-alternated Julia sets

CSTR: 32037.14.aps.63.060503
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  • 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)2zmn2+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.

     

    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)2zmn2+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.

     

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