## Almost periodic solutions for Wilson-Cowan type model with time-varying delays.(English)Zbl 1264.34086

Summary: Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and the well-known Banach contraction mapping principle. The results are new, easily checkable, and complement existing periodic ones.

### MSC:

 34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 92B20 Neural networks for/in biological studies, artificial life and related topics
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### References:

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