Stable/unstable continua of cw-expansive flows

• A. Artigue ^[1] ; B. Carvalho ^[2] ; M. Tacuri ^[3]
  1. [1] Universidad de la República

     Universidad de la República

     Uruguay

     
  2. [2] University of Rome Tor Vergata

     University of Rome Tor Vergata

     Roma Capitale, Italia

     
  3. [3] Universidade Nacional de Engenharia

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 5, 2025
• Idioma: inglés
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• Resumen

  • We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations between them. We prove the existence of continua with a uniform diameter within each sectionally geometric local stable/unstable set for cw-expansive flows defined on Peano continua.