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Mode Selection Rules for a Two-Delay System with Positive and Negative Feedback Loops
http://hdl.handle.net/10228/00007102
http://hdl.handle.net/10228/000071026c135939-0f12-4ced-a69b-6ab01aea84a1
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
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| アイテムタイプ | 学術雑誌論文 = Journal Article(1) | |||||
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| 公開日 | 2019-03-29 | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| タイトル | ||||||
| タイトル | Mode Selection Rules for a Two-Delay System with Positive and Negative Feedback Loops | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 著者 |
高橋, 公也
× 高橋, 公也× Kobayashi, Taizo |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The mode selection rules for a two-delay system, which has negative feedback with a short delay time t1 and positive feedback with a long delay time t2, are studied numerically and theoretically. We find two types of mode selection rules depending on the strength of the negative feedback. When the strength of the negative feedback |α1| (α1 < 0) is sufficiently small compared with that of the positive feedback α2 (> 0), 2m + 1-th harmonic oscillation is well sustained in a neighborhood of t1/t2 = even/odd, i.e., relevant condition. In a neighborhood of the irrelevant condition given by t1/t2 = odd/even or t1/t2 = odd/odd, higher harmonic oscillations are observed. However, if |α1| is slightly less than α2, a different mode selection rule works, where the condition t1/t2 = odd/even is relevant and the conditions t1/t2 = odd/odd and t1/t2 = even/odd are irrelevant. These mode selection rules are different from the mode selection rule of the normal two-delay system with two positive feedback loops, where t1/t2 = odd/odd is relevant and the others are irrelevant. The two types of mode selection rules are induced by individually different mechanisms controlling the Hopf bifurcation, i.e., the Hopf bifurcation controlled by the “boosted bifurcation process” and by the “anomalous bifurcation process”, which occur for |α1| below and above the threshold value αth, respectively. | |||||
| 書誌情報 |
Journal of the Physical Society of Japan 巻 87, 号 4, p. 044001-1-044001-13, 発行日 2018-03-29 |
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| 出版社 | ||||||
| 出版者 | 日本物理学会 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | info:doi/10.7566/JPSJ.87.044001 | |||||
| NAID | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | NAID | |||||
| 関連識別子 | 160000038859 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 548 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00704814 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | EISSN | |||||
| 収録物識別子 | 1347-4073 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0031-9015 | |||||
| 著作権関連情報 | ||||||
| 権利情報 | Copyright (c) 2018 The Physical Society of Japan | |||||
| 出版タイプ | ||||||
| 出版タイプ | AM | |||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
| 査読の有無 | ||||||
| 値 | yes | |||||
| 研究者情報 | ||||||
| URL | https://hyokadb02.jimu.kyutech.ac.jp/html/250_ja.html | |||||
| 論文ID(連携) | ||||||
| 値 | 10312044 | |||||
| 連携ID | ||||||
| 値 | 7511 | |||||
| 情報源 | ||||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.7566/JPSJ.87.044001 | |||||
| 関連名称 | https://doi.org/10.7566/JPSJ.87.044001 | |||||