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Bending angles of a broken line causing bifurcations and chaos
https://tokushima-u.repo.nii.ac.jp/records/2007841
https://tokushima-u.repo.nii.ac.jp/records/2007841484c3056-f3fb-4e86-af8d-05738e7c2649
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
nolta_11_3_359.pdf (2.79 MB)
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| Item type | 文献 / Documents(1) | |||||||||||||||||
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| 公開日 | 2020-07-13 | |||||||||||||||||
| アクセス権 | ||||||||||||||||||
| アクセス権 | open access | |||||||||||||||||
| 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 | |||||||||||||||||
| 出版社版DOI | ||||||||||||||||||
| 関連識別子 | https://doi.org/10.1587/nolta.11.359 | |||||||||||||||||
| 関連名称 | 10.1587/nolta.11.359 | |||||||||||||||||
| 出版タイプ | ||||||||||||||||||
| 出版タイプ | VoR | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | Bending angles of a broken line causing bifurcations and chaos | |||||||||||||||||
| 著者 |
美井野, 優
× 美井野, 優
× 上田, 哲史
WEKO
98
× 川上, 博 |
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| 抄録 | ||||||||||||||||||
| 内容記述 | We replace the cubic characteristics in the Duffing equation by two line segments connected at a point and investigate how an angle of that broken line conducts bifurcations to periodic orbits. Firstly we discuss differences in periodic orbits between the Duffing equation and a forced planar system including the broken line. In the latter system, a grazing bifurcation split the parameter space into the linear and nonlinear response domains. Also, we show that bifurcations of non-resonant periodic orbits appeared in the former system are suppressed in the latter system. Secondly, we obtain bifurcation diagrams by changing a slant parameter of the broken line. We also find the parameter set that a homoclinic bifurcation arises and the corresponding horseshoe map. It is clarified that a grazing bifurcation and tangent bifurcations form boundaries between linear and nonlinear responses. Finally, we explore the piecewise linear functions that show the minimum bending angles exhibiting bifurcation and chaos. | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | local and global bifurcation analysis | |||||||||||||||||
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| 主題 | piecewise linear dynamical system | |||||||||||||||||
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| 主題 | hybrid dynamical system | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | Duffing equation | |||||||||||||||||
| 書誌情報 |
en : Nonlinear Theory and Its Applications, IEICE 巻 11, 号 3, p. 359-371, 発行日 2020-07-01 |
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| 収録物ID | ||||||||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||||||||
| 収録物識別子 | 21854106 | |||||||||||||||||
| 出版者 | ||||||||||||||||||
| 出版者 | The Institute of Electronics, Information and Communication Engineers | |||||||||||||||||
| 権利情報 | ||||||||||||||||||
| 権利情報 | © IEICE 2020 | |||||||||||||||||
| EID | ||||||||||||||||||
| 識別子 | 364138 | |||||||||||||||||
| 言語 | ||||||||||||||||||
| 言語 | eng | |||||||||||||||||
