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Mode Selection Rule for Three-Delay Systems
http://hdl.handle.net/10228/00007006
http://hdl.handle.net/10228/00007006b81dfba4-21ab-4a1f-8373-59c59052acfb
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
10315119.pdf (7.5 MB)
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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 | 2019-02-13 | |||||
| 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 Rule for Three-Delay Systems | |||||
| 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 | We study the mode selection rule for a three-delay system to determine which oscillation mode is first excited by the Hopf bifurcation with increasing control parameter. We use linear stability analysis to detect an oscillating mode excited by the first bifurcation. There are two conditions, relevant and irrelevant conditions, determined by the ratios of three delay times, t1, t2, and tf, where tf is fixed and t1 and t2 are set as 0 < t1 < tf and 0 < t2 < tf. In a neighborhood of the relevant condition defined such that both t1/tf = n1/m1 and t2/tf = n2/m2 are ratios of odd to odd, oscillations nearly equal to the m~th-harmonic mode are excited, where m~ is the least common multiple of m1 and m2. In the parameter space (t1,t2), there are irrelevant lines each of which is determined by a rational dependence of t1, t2, and tf, and does not allow any relevant condition. Extremely high order modes are observed along both sides of the irrelevant line. In particular, the line t2 = tf − t1, i.e., a diagonal with a slope of −1, shows the strongest irrelevancy. | |||||
| 書誌情報 |
Journal of the Physical Society of Japan 巻 86, 号 12, 発行日 2017-12-15 |
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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.86.124005 | |||||
| NAID | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | NAID | |||||
| 関連識別子 | 40021408524 | |||||
| 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) 2017 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 | 10315119 | |||||
| 連携ID | ||||||
| 値 | 7509 | |||||
| 情報源 | ||||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.7566/JPSJ.86.124005 | |||||
| 関連名称 | https://doi.org/10.7566/JPSJ.86.124005 | |||||
