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Numerical exploration of the spiral state in the pattern formation of the Swift-Hohenberg equation on a sphere
https://doi.org/10.32286/00022959
https://doi.org/10.32286/00022959ddb6aec5-254b-47ca-9bf3-7c4e64f939f1
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KU-1100-20210320-02.pdf (1.3 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2021-03-30 | |||||
| タイトル | ||||||
| タイトル | Numerical exploration of the spiral state in the pattern formation of the Swift-Hohenberg equation on a sphere | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 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 | departmental bulletin paper | |||||
| ID登録 | ||||||
| ID登録 | 10.32286/00022959 | |||||
| ID登録タイプ | JaLC | |||||
| 著者 |
Gotoh, Fumitoshi
× Gotoh, Fumitoshi× Generalis, Sotos C.× Itano, Tomoaki |
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| 著者別名 | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 44739 | |||||
| 姓名 | 後藤, 史利 | |||||
| 著者別名 | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 44783 | |||||
| 姓名 | 板野, 智昭 | |||||
| 概要 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Spiral states are commonly observed in pattern formation on a sphere. Li et al.(Phys. Rev. E, Vol.71, 016301 [2005]) previously proposed a method to generate the spiral states by adopting mixed modes with adjacent wavenumbers like l = l0, l0 + 1, as the initial condition of a time-developing numerical simulation. Herein, using the Swift-Hohenberg equation as an example, we show that Li's empirical method can be successful only in particular regions of parameter space. Tracing the state by a continuation method generated from the static state via three symmetry breakings, the spiral state may be regarded as a resonant state generated by the combination of a few degenerate unstable modes with different azimuthal wave numbers. | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | This work has been supported in part by KAKENHI (20K04294). | |||||
| 書誌情報 |
Science and technology reports of Kansai University = 関西大学理工学研究報告 巻 63, p. 13-20, 発行日 2021-03-20 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 04532198 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA12314657 | |||||
| 著者版フラグ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| 出版者 | ||||||
| 出版者 | Kansai University | |||||
| 出版者（他言語） | ||||||
| 値 | 関西大学 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | 関西大学 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Kansai University | |||||
