Existence and Stability of Traveling Fronts in a Lateral Inhibition Neural Network

DOI10.1137/120876903zbMath1260.45005OpenAlexW2049633853MaRDI QIDQ4904553

Yixin Guo

Publication date: 30 January 2013

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

Full work available at URL: https://semanticscholar.org/paper/1e6c43ae786845010de9ef1e7b297a837413a55d

zbMATH Keywords

existencelinear stabilityneural networkintegrodifferential equationtraveling frontneural field model

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory for integral equations (45M10)

Related Items (2)

Existence and nonexistence of traveling pulses in a lateral inhibition neural network ⋮ Existence and Uniqueness of Traveling Fronts in Lateral Inhibition Neural Fields with Sigmoidal Firing Rates

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