A Center Manifold Result for Delayed Neural Fields Equations

DOI10.1137/110856162zbMath1278.34081OpenAlexW2062558685MaRDI QIDQ2843459

Olivier Faugeras, Romain Veltz

Publication date: 22 August 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00719794/file/delaybifRR.pdf

zbMATH Keywords

bifurcationcenter manifoldspace-dependent delaysneural fields equations

Mathematics Subject Classification ID

Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

Related Items (10)

Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays ⋮ Absolute Stability and Synchronization in Second-Order Neural Fields with Conduction Delays ⋮ Exponential stability of the stationary distribution of a mean field of spiking neural network ⋮ Local Theory for Spatio-Temporal Canards and Delayed Bifurcations ⋮ On the stability of two neuron populations interacting with each other ⋮ Kernel reconstruction for delayed neural field equations ⋮ Neural field models with transmission delays and diffusion ⋮ Unnamed Item ⋮ ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations ⋮ Smooth centre manifolds for impulsive delay differential equations

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