Pair of excitable FitzHugh-Nagumo elements: Synchronization, multistability, and chaos

Yanagita, T.; Ichinomiya, T.; Oyama, Y.

PHYSICAL REVIEW E, 2005, 72, 056218

Permalink : https://hdl.handle.net/2115/5749

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アクセス権	open access
URI	https://hdl.handle.net/2115/5749
タイトル	Pair of excitable FitzHugh-Nagumo elements: Synchronization, multistability, and chaos
著者	Yanagita, T. ; Ichinomiya, T. ; Oyama, Y.
e-Rad_Researcher 80242262 著者名 Yanagita, T. 柳田, 達雄
著者名 Ichinomiya, T.
著者名 Oyama, Y.
言語	英語
発行日	2005
出版者	American Physical Society
収録物名	PHYSICAL REVIEW E
巻(号)	72
ページ	056218
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 2005 American Physical Society
PISSN	0031-9007
関連情報	PMID 16383738
関連情報	URI http://www.aps.org/
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevE.72.056218