Almost periodic solutions for Wilson-Cowan type model with time-varying delays

DOI10.1155/2013/683091zbMath1264.34086OpenAlexW2003674333WikidataQ58921729 ScholiaQ58921729MaRDI QIDQ1956095

Zhenkun Huang, Shasha Xie

Publication date: 13 June 2013

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/683091

zbMATH Keywords

Lyapunov functionalsalmost periodic solutionBanach contraction mapping principleWilson-Cowan modeldelay-based exponential stability

Mathematics Subject Classification ID

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

Related Items (1)

Dynamics of a Homeostatically Regulated Neural System with Delayed Connectivity

Cites Work

• Biperiodicity in neutral-type delayed difference neural networks
• Multistability analysis for a general class of delayed Cohen-Grossberg neural networks
• Wilson-Cowan neural-network model in image processing
• Multi-stability and almost periodic solutions of a class of recurrent neural networks
• A Periodically Forced Wilson–Cowan System with Multiple Attractors
• A Periodically Forced Wilson--Cowan System
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue

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