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Pulse Bifurcations in Stochastic Neural Fields

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Publication:2876696
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DOI10.1137/140951369zbMath1301.92009arXiv1401.0471OpenAlexW2060426066MaRDI QIDQ2876696

Grégory Faye, Zachary P. Kilpatrick

Publication date: 19 August 2014

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

Full work available at URL: https://arxiv.org/abs/1401.0471


zbMATH Keywords

noiseamplitude equationstraveling pulsesstochastic pitchfork bifurcationneural field equations


Mathematics Subject Classification ID

Neural biology (92C20) PDEs with randomness, stochastic partial differential equations (35R60) Traveling wave solutions (35C07) Systems of nonlinear first-order PDEs (35F50)


Related Items (7)

Neural field models with threshold noise ⋮ Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field ⋮ Ghosts of bump attractors in stochastic neural fields: bottlenecks and extinction ⋮ Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation ⋮ The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations ⋮ Additive noise driven phase transitions in a predator-prey system ⋮ Delay stabilizes stochastic motion of bumps in layered neural fields




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