Dynamic instabilities in scalar neural field equations with space-dependent delays

In this paper we consider a class of scalar integral equations with a form of space-dependent delay. These non-local models arise naturally when modelling neural tissue with active axons and passive dendrites. Such systems are known to support a dynamic (oscillatory) Turing instability of the hom...

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Bibliographic Details
Main Authors: Venkov, Nikola Atanasov, Coombes, Stephen, Matthews, Paul C
Format: Article
Published: 2007
Subjects:
Online Access:https://eprints.nottingham.ac.uk/497/