逐点伪轨跟踪性质与混沌

Pointwise Pseudo-Orbit Tracing Property and Chaos

中文关键词:  跟踪性质  混沌  拓扑混合  一致正熵  完全正熵.

英文关键词:tracing property  chaos  mixing  uniform positive entropy  completely positive entropy.

中文摘要:

      本文研究了逐点伪轨跟踪性质与拓扑混合等混沌性态的关系,给出了$f$具有逐点伪轨跟踪性质时,$f$具有一致正熵和完全正熵的一些等价条件.

英文摘要:

      In this article, we discuss the relationship between pointwise pseudo-orbit tracing property and chaotic properties such as topological mixing. When $f$ has pointwise pseudo-orbit tracing property, we give some equal conditions of uniform positive entropy and completely positive entropy.