{"title":"Symbolic Dynamics","authors":"Aaron Geelon So","doi":"10.2307/j.ctv173f0n4.6","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":446013,"journal":{"name":"Celestial Encounters","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Celestial Encounters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2307/j.ctv173f0n4.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
