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.
author = "R. Veltz",
title = "An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays",
year = 2011,
journal = "Comptes Rendus Mathematique",
publisher = "Elsevier",
volume = 349,
number = 13,
url = "http://www.sciencedirect.com/science/article/pii/S1631073X11001671"