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**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 |

### Keywords:

Banach contraction mapping principle; almost periodic solution; delay-based exponential stability; Lyapunov functionals; Wilson-Cowan model
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\textit{S. Xie} and \textit{Z. Huang}, Discrete Dyn. Nat. Soc. 2013, Article ID 683091, 7 p. (2013; Zbl 1264.34086)

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### References:

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