Pitchfork–Hopf bifurcations in 1D neural field models with transmission delays

Koen Dijkstra, Stephanus A. van Gils, S.G. Janssens, Iouri Aleksandrovitsj Kouznetsov, S. Visser

    Research output: Contribution to journalArticleAcademicpeer-review

    9 Citations (Scopus)
    1 Downloads (Pure)

    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.
    Original languageEnglish
    Pages (from-to)88-101
    Number of pages14
    JournalPhysica D
    Volume297
    DOIs
    Publication statusPublished - 15 Mar 2015

      Fingerprint

    Keywords

    • EWI-26947
    • IR-100249
    • METIS-316894

    Cite this