Limit Sets, Attractors and Chaos

• Tomasz Drwiega ^[1] ; Marek Lampart ^[2] ; Piotr Oprocha ^[1]
  1. [1] AGH University of Science and Technology

     AGH University of Science and Technology

     Kraków, Polonia

     
  2. [2] Technical University of Ostrava

     Technical University of Ostrava

     Chequia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 1, 2017, págs. 53-69
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The aim of this paper is a study on relations between ω-chaos and the structure of ω-limit sets. We propose a definition of ωˆ-chaos which requires stronger relations between limit sets of points from tuples. We present example with relatively simple dynamics (almost equicontinuous system) which is ω-chaotic and propose further restrictions on the conditions in the definition.