一个拓扑熵等于∞的非浑沌系统(英文)

A NONCHAOTIC SYSTEM WITH TOPOLOGICAL ENTROPY BEING ∞

本文构造了一个离散动力系统(E,σ),其中E是一个可数集。σ:E→E是一个连续映射,满足: 1)σ的拓扑熵是+∞; 2)σ的非游荡集是空集; 3)

In this paper,we construct a discrete dynamical system(E,σ),where E is a countable set and σ:E→ E,is a continuous map,ehich satisfies that 1)the topological entropy of σ is+∞ 2)the set of nonwandering points of σ is a empty set, 3)σ has sensitive dependence on initial conditions only at the accomulation points of E.