A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations

From MaRDI portal
Publication:2790857

DOI10.1137/15M102856XzbMath1336.60121arXiv1506.08644OpenAlexW796303710MaRDI QIDQ2790857

James D. Inglis, James N. Maclaurin

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1506.08644




Related Items (20)

Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire NeuronsNeural field models with threshold noise\(L^{2}\)-stability of traveling wave solutions to nonlocal evolution equationsA multiscale-analysis of stochastic bistable reaction-diffusion equationsPhase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended NoiseA mathematical model of discrete attachment to a cellulolytic biofilm using random DEsStability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative NoiseTravelling waves for reaction-diffusion equations forced by translation invariant noiseStochastic neural field theory of wandering bumps on a sphereQuenched asymptotics for interacting diffusions on inhomogeneous random graphsA Variational Method for Analyzing Stochastic Limit Cycle OscillatorsAsymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equationsStability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative NoiseA Multiscale Analysis of Traveling Waves in Stochastic Neural FieldsStability of Traveling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion EquationsTravelling waves in monostable and bistable stochastic partial differential equationsA gradient flow formulation for the stochastic Amari neural field modelMultiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equationsWandering bumps in a stochastic neural field: a variational approachStochastic rotating waves




Cites Work




This page was built for publication: A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations