扭转型Smale马蹄模型及拟移位映射  

Torsional Smale Horseshoe and Model Shift Mapping

作　　者：胥海云 陈芳跃[1] 李二林[1] 

机构地区：[1]杭州电子科技大学理学院,浙江杭州

出　　处：《动力系统与控制》2017年第1期28-33,共6页Dynamical Systems and Control

摘　　要：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.

关 键 词：双边符号空间 扭转型Smale马蹄 拟移位映射 Cantor五分集 拓扑共轭 

分 类 号：O1[理学—数学]