Time-Restricted Sensitivity and Entropy for Fixed-Point Free Flows

• Yunping Wang ^[1] ; Yong Ji ^[2] ; Rui Yang ^[3]
  1. [1] Ningbo University of Technology

     Ningbo University of Technology

     China

     
  2. [2] Northwest University

     Northwest University

     China

     
  3. [3] Chongqing University

     Chongqing University

     China

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 2, 2026
• Idioma: inglés
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• Resumen

  • In this paper, by considering all possible reparametrizations of flows, we introduce the measure-theoretic restricted sensitivity and topological restricted sensitivity to characterize the chaos of flows. For fixed-point free flows, we relate the measure-theoretic and topological asymptotic rates to the Brin-Katok local entropy and the topological entropy.

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