Plain text, RIS, BibTex

Publication

R. Veltz An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays Comptes Rendus Mathematique, 349(13), 2011 URL, PDF, RIS, BibTex
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.

Reference

@article{veltz2011analytical,
  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"
}

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