An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays

DOI10.1016/J.CRMA.2011.06.014zbMath1227.34070OpenAlexW1988538819MaRDI QIDQ639587

Romain Veltz

Publication date: 22 September 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.06.014

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory of functional-differential equations (34K18)

Related Items (6)

On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1 ⋮ Standing and travelling waves in a spherical brain model: the Nunez model revisited ⋮ On local bifurcations in neural field models with transmission delays ⋮ Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions ⋮ Bifurcation analysis applied to a model of motion integration with a multistable stimulus ⋮ Spatial and color hallucinations in a mathematical model of primary visual cortex

Cites Work

• Dynamics of pattern formation in lateral-inhibition type neural fields
• Introduction to functional differential equations
• On the Lambert \(w\) function
• Dynamic instabilities in scalar neural field equations with space-dependent delays
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue

This page was built for publication: An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays