Wandering Flows on the Plane

• Joseph Auslander ^[1] ; Roberto De Leo ^[2]
  1. [1] University of Maryland, College Park

     University of Maryland, College Park

     Estados Unidos

     
  2. [2] Howard University

     Howard University

     Estados Unidos

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

  • We study planar flows without non-wandering points and prove several properties of these flows in relation with their prolongational relation. With this article we achieve two main results. On one side, we show that planar (regular) wandering flows have only two topological invariants: the space of their orbits and their prolongational relations (or, equivalently, their smallest streams). As a consequence, the result above shows, for the first time in literature, that, as argued recently by James A. Yorke and the second author, streams are a more fundamental concept than recurrence.

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