Monday 19 Oct 2015Dynamics seminar: Analysis of local bifurcations in neural fields with transmission delays

Sid Visser - University of Exeter

H103 14:30-16:30

In this seminar I will provide an outline of

- neural field models, an effective way to model the brain's activity at a macroscopic scale,

- the functional analytical difficulties that arise when accounting for transmission delays between neurons,

- center manifold reduction for this new class of models.

These new functional analytic techniques will be used to investigate the role of axonal delays on the spatio-temporal patterns forming in the brain. In particular, I will show analytical and numerical results for a simple spherical model of the brain.

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