<p>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.</p>

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

  • Yunping Wang,
  • Yong Ji,
  • Rui Yang

摘要

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.