How effective delays shape oscillatory dynamics in neuronal networks
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Publication:629014
DOI10.1016/J.PHYSD.2010.09.009zbMath1213.37127arXiv0905.0701OpenAlexW2040664458MaRDI QIDQ629014
Publication date: 8 March 2011
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.0701
Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20)
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Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays ⋮ Exit time asymptotics for small noise stochastic delay differential equations ⋮ Piecewise convex technique for the stability analysis of delayed neural network ⋮ Dynamics of Feature Categorization ⋮ Limits and dynamics of stochastic neuronal networks with random heterogeneous delays ⋮ Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions ⋮ Bifurcation analysis applied to a model of motion integration with a multistable stimulus ⋮ The role of network structure and time delay in a metapopulation Wilson-Cowan model ⋮ Sparse network estimation for dynamical spatio-temporal array models ⋮ Neural field models with transmission delays and diffusion
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