广义Hénon映射中浑沌现象

Chaotic Behavior of Generalized Henon Mapping

本文讨论广义Hènon映射Φ浑沌现象的存在性。我们用解析方法证明了当参数在一定范围时,映射Φ以集合S上的一个移位自同构σ为其子系统,其中S是一个双边无穷序列的集合,此时有浑沌现象。

This paper discusses the existence of chaotic behavior of the generalized Henon mapping φ.By the analysis method,it is proved that the parameters in some range of values the mapping φ posesa shift automorphism σ of S as subsystem which implies chaos,where S is a set of double infinite sequences.