Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression

DOI10.1137/130913092zbMath1282.34061OpenAlexW2086294119MaRDI QIDQ2871387

Grégory Faye

Publication date: 22 January 2014

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

Full work available at URL: https://semanticscholar.org/paper/9e13fe0554b74285c8382dca59bad7a385974bfc

zbMATH Keywords

Evans functionspectral stabilitygeometric singular perturbation theoryneural field equationstraveling pulse

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Global stability of solutions to ordinary differential equations (34D23) Singular perturbations for ordinary differential equations (34E15) Traveling wave solutions (35C07)

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