Turing instability and pattern formation in a two-population neuronal network model
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Publication:867879
DOI10.1016/j.physd.2006.10.004zbMath1104.92011OpenAlexW2134603733MaRDI QIDQ867879
Gaute T. Einevoll, Patrick Blomquist, John A. Wyller
Publication date: 19 February 2007
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2006.10.004
Integro-partial differential equations (45K05) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory for integral equations (45M10)
Related Items (12)
Pattern formation in a 2-population homogenized neuronal network model ⋮ Prey cannibalism alters the dynamics of Holling-Tanner-type predator-prey models ⋮ Modulational instability in the nonlocal \(\chi ^{(2)}\)-model ⋮ Bifurcations and Dynamics in Modified Two Population Neuronal Network Models ⋮ Bifurcation analysis of reaction diffusion systems on arbitrary surfaces ⋮ The weakly nonlocal limit of a one-population Wilson-Cowan model ⋮ Generation and annihilation of localized persistent-activity states in a two-population neural-field model ⋮ Stability of bumps in a two-population neural-field model with quasi-power temporal kernels ⋮ Neural network firing-rate models on integral form ⋮ On the properties of nonlinear nonlocal operators arising in neural field models ⋮ Networks of planar Hamiltonian systems ⋮ Existence and stability of periodic solutions in a neural field equation
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