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タイトル
  • en Pair of excitable FitzHugh-Nagumo elements: Synchronization, multistability, and chaos
作成者
    • en Ichinomiya, T.
    • en Oyama, Y.
アクセス権 open access
権利情報
  • en Copyright © 2005 American Physical Society
主題
  • NDC 415
内容注記
  • 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.
出版者 en American Physical Society
日付
    Issued2005
言語
  • eng
資源タイプ journal article
出版タイプ VoR
資源識別子 HDL http://hdl.handle.net/2115/5749
関連
  • URI http://www.aps.org/
  • isIdenticalTo DOI https://doi.org/10.1103/PhysRevE.72.056218
  • PMID 16383738
収録誌情報
    • PISSN 0031-9007
      • en PHYSICAL REVIEW E
      • 72 開始ページ056218
ファイル
    • fulltext PRE72-5.pdf
    • 411.82 KB (application/pdf)
      • Issued2005
コンテンツ更新日時 2023-07-26