Absolute Stability and Complete Synchronization in a Class of Neural Fields Models

DOI10.1137/070694077zbMath1227.34074OpenAlexW2004917186MaRDI QIDQ3614143

Jean-Jacques E. Slotine, François Grimbert, Olivier Faugeras

Publication date: 16 March 2009

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

Full work available at URL: https://semanticscholar.org/paper/29217c84f413685163d389033731f11dcd287432

zbMATH Keywords

integro-differential equationsLyapunov functionabsolute stabilityHilbert spacecompact operatorscomplete synchronizationneural fieldsneural massescortical columns

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Nonlinear ordinary differential operators (34L30)

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