Strong Pairs of Periodic Segments

• Klaudiusz Wójcik ^[1]
  1. [1] Jagiellonian University

     Jagiellonian University

     Kraków, Polonia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • We introduce the notion of a strong pair of periodic segments over [0, T ] and we show its applications in detecting chaotic dynamics. We prove a various number of fixed point index formulas concerning periodic points of the Poincaré map.