Variational Principle of the Scaled Entropy for Fixed-Point Free Flows

• Zhiming Li ^[1] ; Yongjun Zhang ^[1] ; Bilel Selmi ^[2]
  1. [1] Northwest University

     Northwest University

     China

     
  2. [2] University of Monastir

     University of Monastir

     Túnez

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 4, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • To characterize the complexity of a system with zero or infinite entropy, we introduce the notions of scaled topological entropy, scaled packing topological entropy, and scaled measure-theoretic entropy for fixed-point free flows. These concepts describe the rate at which nearby orbits diverge, based on any given scaling sequence. Notably, we derive two variational principles in this context.

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