3阶Feigenbaum映射的拓扑共轭性  

Topological Conjugacy on 3-order Feigenbaum's Maps

作　　者：王立娟[1] 廖公夫[2] 

机构地区：[1]嘉兴学院数学与信息科学学院,嘉兴314001 [2]吉林大学数学学院,长春130012

出　　处：《数学学报（中文版）》2006年第4期955-960,共6页Acta Mathematica Sinica：Chinese Series

基　　金：浙江省教育厅科研项目(20051845)

摘　　要：本文讨论3阶Feigenbaum映射限制在非游荡集上的拓扑共轭性．一方面3阶Feigenbaum映射必然产生混沌,混沌的产生使得非游荡集复杂化;另一方面3阶Feigenbaum映射又分为单谷的和非单谷的两类．利用有限型子转移,证明了对任意给定的两个满足一定条件的3阶Feigenbaum映射,限制在其非游荡集上是拓扑共轭．In this paper, we consider the topological conjugacy on 3-order Feigenbaum＇s maps which limited their nonwandering sets. 3-order Feigenbaum＇s maps must bring on chaos, and the nonwandering sets become complication for chaos. In addition, 3-order Feigenbaum＇s maps can be divided into two types- single-valley Feigenbaum＇s map and nonsingle-valley Feigenbaum＇s map. We make use of finite subshifting to proof that： for any two 3-order Feigenbaum＇s maps with some given conditions, they are topological conjugacy limited to their non-wandering sets.

关 键 词：FEIGENBAUM映射 有限型子转移 拓扑共轭 

分 类 号：O189.1[理学—数学]