扭转型Smale马蹄模型及拟移位映射
Torsional Smale Horseshoe and Model Shift Mapping
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。
Abstract: 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.
文章引用:胥海云, 陈芳跃, 李二林. 扭转型Smale马蹄模型及拟移位映射[J]. 动力系统与控制, 2017, 6(1): 28-33. http://dx.doi.org/10.12677/DSC.2017.61004

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