Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis

DOI10.1007/s00285-012-0532-yzbMath1293.37034OpenAlexW2033120070WikidataQ50957297 ScholiaQ50957297MaRDI QIDQ1949315

James Rankin, Pascal Chossat, Grégory Faye

Publication date: 7 May 2013

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-012-0532-y

zbMATH Keywords

normal formnumerical continuationorbital stabilityneural field equationlocalized statereversible Hopf-bifurcation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Normal forms for dynamical systems (37G05) Simulation of dynamical systems (37M05) Dynamical systems in classical and celestial mechanics (37N05) Integro-differential operators (47G20)

Related Items (8)

Dynamics of neural networks with elapsed time model and learning processes ⋮ The hyperbolic model for edge and texture detection in the primary visual cortex ⋮ On localised hotspots of an urban crime model ⋮ Center manifolds without a phase space ⋮ Bifurcation analysis applied to a model of motion integration with a multistable stimulus ⋮ A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations ⋮ PDE Methods for Two-Dimensional Neural Fields ⋮ Spots: Breathing, Drifting and Scattering in a Neural Field Model

Uses Software

• AUTO
• HomCont

Cites Work

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