Horseshoe chaos and topological entropy estimation in a palaeoclimate dynamical model

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• 作者：Quan Yuan^a ; Xiao-Song Yang^b ; ^{xsyang@hust.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Chaos ; Topological horseshoe ; Poincaré ; map ; Topological entropy ; Palaeoclimate dynamical model
• 刊名：Applied Mathematical Modelling
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：40
• 期：4
• 页码：2705-2710
• 全文大小：1084 K

文摘

In this paper, a three-dimensional palaeoclimate dynamical model by Saltzman is revisited. We find that chaotic behavior displays in this three-dimensional dynamical system in numerical studies. To verify the chaoticity, we resort to Poincaré section and Poincaré map technique to present a computer assisted verification of existence of horseshoe chaos by virtue of topological horseshoe theory, and give an estimation of the topological entropy.