族F回归是拓扑动力系统中的一个重要部分。
Recurrence in Ferstenberg family is one of the important parts in topological dynamics.
本文采用非标准分析方法研究拓扑动力系统。
The method of nonstandard analysis is applied to the studies of the topological dynamical systems.
拓扑动力系统；回复点；子系统；扩充。
Topological dynamical systems; Recurrent point; Sub dynamical systems; Expansion.
本文证明了，拓扑动力系统与广义符号动力系统拓扑共轭的一个充分必要条件。
The paper presents a necessary and sufficient condition for topological dynamical system to be topologically conjugate with a generalized symbolic dynamical system.
在第一章中，我们简单地介绍拓扑动力系统的历史背景和基本概念，以及拓扑熵方面的一些已知结果。
In Chapter One, we introduce briefly the historic background and notions of topological dynamical system and some known results about topological entropy.
今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。
Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.
置以合适的拓扑，则这个空间及其输入一输出映射就构成了一个拓扑动力系统，称这个动力系统为CNN符号动力系统。
While we add an appropriate topology to the space, the input-output map will become a topological dynamic system, and we call it CNN symbol dynamic system.
置以合适的拓扑，则这个空间及其输入一输出映射就构成了一个拓扑动力系统，称这个动力系统为CNN符号动力系统。
While we add an appropriate topology to the space, the input-output map will become a topological dynamic system, and we call it CNN symbol dynamic system.
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