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

Rania T Wannan, Ahmed Y. Abdallah

• 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.