A Multiscale Analysis of Traveling Waves in Stochastic Neural Fields

DOI10.1137/15M1033927zbMath1347.60078arXiv1508.00919OpenAlexW2962866568MaRDI QIDQ2819092

Eva Lang

Publication date: 28 September 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00919

zbMATH Keywords

stabilitytraveling wavesmultiscale analysisstochastic evolution equation\(\varepsilon\)-expansionstochastic neural field equation

Mathematics Subject Classification ID

Neural biology (92C20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic integral equations (60H20)

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\(L^{2}\)-stability of traveling wave solutions to nonlocal evolution equations, A multiscale-analysis of stochastic bistable reaction-diffusion equations, Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise, Travelling waves for reaction-diffusion equations forced by translation invariant noise, Quenched asymptotics for interacting diffusions on inhomogeneous random graphs, Finite-size effects on traveling wave solutions to neural field equations, Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations, Stability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative Noise, A Multiscale Analysis of Traveling Waves in Stochastic Neural Fields, Travelling waves in monostable and bistable stochastic partial differential equations, A gradient flow formulation for the stochastic Amari neural field model, Wandering bumps in a stochastic neural field: a variational approach, Stochastic rotating waves

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