象征性的动力学

Celestial Encounters Pub Date : 2020-12-08 DOI:10.2307/j.ctv173f0n4.6

Aaron Geelon So

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摘要

本文介绍了动态系统和拓扑动力学:系统的结构如何随时间变化，特别是相似的初始状态如何变得不同。在这里，我们关注符号动力学，一种动力系统，以及它们如何使用马尔可夫分区对其他系统建模。我们以复杂性的定量度量作为结束:拓扑熵。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Symbolic Dynamics

This paper provides an introduction to dynamical systems and topological dynamics: how a system's configurations change over time, and specifically, how similar initial states grow dissimilar. Here, we focus on symbolic dynamics, a type of dynamical system, and how they can model other systems using Markov partitions. We end with a quantitative measure of complexity: topological entropy.

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