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Pair of excitable FitzHugh-Nagumo elements: Synchronization, multistability, and chaos
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作成者 |
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アクセス権 |
open access |
権利情報 |
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en
Copyright © 2005 American Physical Society
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内容注記 |
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Abstract
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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.
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出版者 |
en
American Physical Society
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日付 |
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言語 |
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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
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関連 |
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URI
http://www.aps.org/
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DOI
https://doi.org/10.1103/PhysRevE.72.056218
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PMID
16383738
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収録誌情報 |
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PHYSICAL REVIEW E
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巻72
開始ページ056218
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ファイル |
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コンテンツ更新日時 |
2023-07-26 |