Dissipative lattice dynamical systems
Donnerstag, 1. Juni 2023
17 bis 0 Uhr
Vortragende Person/Vortragende Personen:
Peter Kloeden (Universität Tübingen)
This talk focuses on dynamical behavior of lattice models, in particular, attractors for such systems. Three types of lattice dynamical systems are investigated; they are lattice reaction-diffusion systems, Hopfield neural lattice systems, and neural field lattice systems. For each system the existence of a global, nonautonomous, or random attractor is shown. The upper semi continuity of attractors for the Hopfield neural lattice model and the upper semi continuity of numerical attractors are also discussed.