扭转型Smale马蹄模型及拟移位映射

Abstract

基于符号动力系统及拟移位映射，给出了一种用5-进制小数描述的扭转型Smale马蹄模型，找到了该模型的一个局部线性表示，并证明它与传统的移位映射拓扑共轭。 Based on the knowledge of symbolic dynamical systems and model shift mapping, a torsional Smale horseshoe model is presented, which is described by quinary. Under certain parameters, a local linear representation of the model is found and proved to be topologically conjugate with the traditional shift map.