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Title
  • en Pair of excitable FitzHugh-Nagumo elements: Synchronization, multistability, and chaos
Creator
    • en Ichinomiya, T.
    • en Oyama, Y.
Accessrights open access
Rights
  • en Copyright © 2005 American Physical Society
Subject
  • NDC 415
Description
  • Abstract en We analyze a pair of excitable FitzHugh-Nagumo elements, each of which is coupled repulsively. While the rest state for each element is globally stable for a phase-attractive coupling, various firing patterns, including cyclic and chaotic firing patterns, exist in an phase-repulsive coupling region. Although the rest state becomes linearly unstable via a Hopf bifurcation, periodic solutions associated to the firing patterns is not connected to the Hopf bifurcation. This means that the solution branch emanating from the Hopf bifurcation is subcritical and unstable for any coupling strength. Various types of cyclic firing patterns emerge suddenly through saddle-node bifurcations. The parameter region in which different periodic solutions coexist is also found.
Publisher en American Physical Society
Date
    Issued2005
Language
  • eng
Resource Type journal article
Version Type VoR
Identifier HDL http://hdl.handle.net/2115/5749
Relation
  • URI http://www.aps.org/
  • isIdenticalTo DOI https://doi.org/10.1103/PhysRevE.72.056218
  • PMID 16383738
Journal
    • PISSN 0031-9007
      • en PHYSICAL REVIEW E
      • Volume Number72 Page Start056218
File
    • fulltext PRE72-5.pdf
    • 411.82 KB (application/pdf)
      • Issued2005
Oaidate 2023-07-26