Article ID Journal Published Year Pages File Type
8256377 Physica D: Nonlinear Phenomena 2015 14 Pages PDF
Abstract
Recently, local bifurcation theory for delayed neural fields was developed. In this paper, we show how symmetry arguments and residue calculus can be used to simplify the computation of the spectrum in special cases and the evaluation of the normal form coefficients, respectively. This is done hand in hand with an extensive study of two pitchfork-Hopf bifurcations for a 1D neural field model with 'Wizard hat' type connectivity.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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