复系统Julia集的同步

Synchronization of Julia sets of complex systems

非线性系统中的分形集———Julia集,在工程技术中有着十分重要的应用,定义了不同系统间的Julia集同步的概念,并引入一种非线性耦合的方法,对同一系统不同参数的Julia集进行了有效的同步.并以多项式形式和三角函数形式的Julia集同步为例验证了该方法的有效性.

Julia set, being a fractal set in the literature of nonlinear physics, has significance for the engineering applications. In this work, we are the first to define the synchronization of Julia sets between different systems and introduce a nonlinear coupling method to realize the synchronization of Julia sets of the same systems but with different parameters. We also illustrate the effectiveness of our method by the synchronization of Julia sets of polynomial and trigonometric functions respectively.