Wandering bumps in a stochastic neural field: a variational approach

DOI10.1016/j.physd.2020.132403zbMath1493.92005OpenAlexW3006543920MaRDI QIDQ2115512

Paul C. Bressloff, James N. Maclaurin

Publication date: 17 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132403

zbMATH Keywords

stochastic differential equationsvariational principleneural variabilityspatially extended noisestationary bumpsstochastic neural fields

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Integro-partial differential equations (45K05) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (7)

Projection Methods for Neural Field Equations ⋮ Noise-driven bifurcations in a nonlinear Fokker-Planck system describing stochastic neural fields ⋮ Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended Noise ⋮ Stability of Traveling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion Equations ⋮ Noise-driven bifurcations in a neural field system modelling networks of grid cells ⋮ Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations ⋮ Stochastic rotating waves

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