Dynamical behavior of a general non-autonomous dynamical system

• Yadav, Sushmita ^[1] ; Sharma, Puneet ^[1]
  1. [1] Indian Institute of Technology Jodhpur
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 1, 2025, págs. 203-219
• Idioma: inglés
• DOI: 10.4995/agt.2025.21468
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• Resumen

  • In this work, we investigate dynamical notions such as minimality, almost periodicity, equicontinuity, transitivity, proximality and periodicity for a general non-autonomous dynamical system. We provide necessary and sufficient conditions for a non-autonomous system to be minimal. We prove that for an equicontinuous system (X,F), if x is almost periodic then OH(x) is uniformly almost periodic. We also establish preservance of almost periodicity under uniform convergence. We also establish some results capturing the qualitative behavior of a general non-autonomous dynamical system.

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