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

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Title: Pair of excitable FitzHugh-Nagumo elements: Synchronization, multistability, and chaos
Authors: Yanagita, T.1 Browse this author →KAKEN DB
Ichinomiya, T. Browse this author
Oyama, Y. Browse this author
Authors(alt): 柳田, 達雄1
Issue Date: 2005
Publisher: American Physical Society
Volume: 72
Start Page: 056218
Publisher DOI: 10.1103/PhysRevE.72.056218
PMID: 16383738
Abstract: 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.
Rights: Copyright © 2005 American Physical Society
Type: article
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 柳田 達雄

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