Standing and travelling waves in a spherical brain model: the Nunez model revisited

DOI10.1016/j.physd.2017.02.017zbMath1376.92014OpenAlexW2594732619WikidataQ42286375 ScholiaQ42286375MaRDI QIDQ1686636

Peng Zhang

Publication date: 15 December 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2017.02.017

zbMATH Keywords

integral equationsneuronal networksdynamic pattern formationnormal form computationpattern formation on a spherespace dependent delayssymmetric bifurcation theory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Neural biology (92C20) Biomedical imaging and signal processing (92C55) Dynamical systems in biology (37N25) Stability theory for integral equations (45M10)

Related Items (14)

Projection Methods for Neural Field Equations ⋮ A numerical simulation of neural fields on curved geometries ⋮ Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended Noise ⋮ Numerical investigation of a neural field model including dendritic processing ⋮ Conformists and contrarians on spheres ⋮ Understanding the effect of white matter delays on large scale brain synchrony ⋮ Spiral waves on the sphere for an alloy electrodeposition model ⋮ Stochastic neural field theory of wandering bumps on a sphere ⋮ Stability analysis of alternating wave solution in a Stuart-Landau system with time delay ⋮ The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions ⋮ Neural field models with transmission delays and diffusion ⋮ Spiral wave chimeras induced by heterogeneity in phase lags and time delays ⋮ Dynamics of delayed neural field models in two-dimensional spatial domains ⋮ Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit

Uses Software

• DLMF

Cites Work

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