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Journal Articles Comptes Rendus. Mathématique Year : 2011

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

Abstract

We give an analytical parametrization of the curves of purely imaginary eigenvalues in the delay-parameter plane of the linearized neural field network equations with space-dependent delays. In order to determine if the rightmost eigenvalue is purely imaginary, we have to compute a finite number of such curves; the number of curves is bounded by a constant for which we give an expression. The Hopf bifurcation curve lies on these curves.

Dates and versions

hal-00845727 , version 1 (17-07-2013)

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Romain Veltz. An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays. Comptes Rendus. Mathématique, 2011, 349 (13-14), pp.749--752. ⟨10.1016/j.crma.2011.06.014⟩. ⟨hal-00845727⟩
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