Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays | Zendy

Shasha Xie | Zendy; Zhenkun Huang | Zendy

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Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays

Author(s) -

Shasha Xie,

Zhenkun Huang

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/683091

Subject(s) - complement (music) , mathematics , contraction principle , contraction (grammar) , exponential stability , exponential dichotomy , type (biology) , contraction mapping , stability (learning theory) , control theory (sociology) , pure mathematics , mathematical analysis , computer science , fixed point theorem , nonlinear system , differential equation , physics , artificial intelligence , ecology , chemistry , biology , biochemistry , control (management) , quantum mechanics , medicine , complementation , gene , phenotype , machine learning

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

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