| Abstract: |
| Motivated by the importance of discrete structures of neuron networks, a neural field lattice system arising from the discretization of neural field models in the form of integro-differential equations is studied. The neural field lattice system is first formulated as a differential inclusion on a weighted space of infinite sequences, due to the switching effects. Then the existence of solutions of the resulting differential inclusion is proved by a series of sequential finite-dimensional approximations. The solutions are shown to generate a nonautonomous set-valued dynamical system which possesses a pullback attractor. Forward omega limit sets for the set-valued dynamical system are also discussed. |
|