Long-Time Behavior of Non-Autonomous FitzHugh–Nagumo Lattice Systems

• Wannan, Rania T ^[2] ; Abdallah, Ahmed Y ^[1]
  1. [1] University of Jordan

     University of Jordan

     Jordania

     
  2. [2] Palestine Technical University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 3, 2020
• Idioma: inglés
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• Resumen

  • In Abdallah (J Appl Math 3: 273–288, 2005), Boughoufala and Abdallah (Disc Cont Dyn Ays B), Li and Wang (J Math Anal Appl 325: 141–156, 2007), Vleck and Wang (Physica D 212: 317–336, 2005), Wang (Int J Bifurcation Chaos 17: 1673–1685, 2007) the existence of global attractors for autonomous and non-autonomous deterministic FitzHugh–Nagumo lattice dynamical systems (LDSs) with nonlinear parts of the form Giui have been studied. Here the existence of the uniform global attractor for such non-autonomous systems with nonlinear parts of the form Giuk∣k∈Iiq is carefully investigated, where such nonlinear parts present the main difficulty of this work.