一类动力系统的同步性的研究

摘要

In recent years, the problems of synchronization and control with a complex dynamic network which is composed of coupling chaotic oscillators have become a fairly active research field. And furthermore dynamic system that takes the network as a research object is favored by many experts and scholars. In this paper we mainly investigate the synchronicity of__(κ( X ), f ) and prove that if__f is Devaney chaotic,__P( f ) is open.%近年来，由耦合的混沌振子构成的复杂动力网络的同步与控制问题已成为相当活跃的研究领域之一，以网络作为研究对象之一的动力系统更是受到众多专家与学者的青睐。基于此，研究了动力系统__(κ( X ), f )的同步性，证明了“当[0,1]X =I=时，__P( f )是闭集蕴含__f不是Devaney混沌的”。