EXISTENCE AND STABILITY OF MULTIBUMP SOLUTIONS OF AN INTEGRAL-DIFFERENTIAL EQUATION

DOI10.1142/S0218127407019883zbMath1160.45005OpenAlexW2093218055WikidataQ115245958 ScholiaQ115245958MaRDI QIDQ3533718

Su-Shing Lin, Whei-Ching C. Chan

Publication date: 23 October 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407019883

zbMATH Keywords

numerical resultsexponential stabilityneural networkbifurcationcenter manifoldmultibump solutionasymptotic phaseinvariant foliationintegral-differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Neural networks for/in biological studies, artificial life and related topics (92B20) Partial functional-differential equations (35R10) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (1)

Multi-bump solutions in a neural field model with external inputs

Cites Work

• Smooth invariant foliations in infinite dimensional spaces
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Existence and stability of local excitations in homogeneous neural fields
• The visual cortex as a crystal
• Two-bump solutions of Amari-type models of neuronal pattern formation
• Multiple Bumps in a Neuronal Model of Working Memory
• PDE Methods for Nonlocal Models

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