Periodic measures for a neural field lattice model with state dependent superlinear noise

Author:

Li Xintao,Lin Rongrui,She Lianbing

Abstract

<abstract><p>The primary focus of this paper lies in exploring the limiting dynamics of a neural field lattice model with state dependent superlinear noise. First, we established the well-posedness of solutions to these stochastic systems and subsequently proved the existence of periodic measures for the system in the space of square-summable sequences using Krylov-Bogolyubov's method. The cutoff techniques of uniform estimates on tails of solutions was employed to establish the tightness of a family of probability distributions for the system's solutions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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