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並列処理を用いた3つのローレンツカオス水車間の線形結合による共鳴運動の計算
https://doi.org/10.34411/00000922
https://doi.org/10.34411/00000922c56b49f5-de91-4cb0-9559-e391d1740af6
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
kkb-026-017.pdf (4.2 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||||
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| 公開日 | 2020-11-24 | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | 並列処理を用いた3つのローレンツカオス水車間の線形結合による共鳴運動の計算 | |||||||||||||
| 言語 | ja | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | The Computer Simulation of the Resonant Motion between Three Lorenz Chaos Water Wheels by the Linear Coupling using Parallel Computation | |||||||||||||
| 言語 | en | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | jpn | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Network | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Lorenzian Chaos Water Wheel | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Linear coupling | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Parallel Processing | |||||||||||||
| 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 | 10.34411/00000922 | |||||||||||||
| ID登録タイプ | JaLC | |||||||||||||
| 著者 |
山崎, 信孝
× 山崎, 信孝
× 本田, 数博
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| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | We had been interested in the increase of the complexity for the non-linear coupled oscillating system as the unit number changes from two to three. For the dynamics of assembly of the coupled non-linear oscillating systems, the relationship among the units can not be simply discussed, because the principle of the linear superposition can not be applied. We examined the complexity produced by the linear coupling of three non-linear oscillators. The coupling schemes were examined for the linear and circular network, respectively. Moreover, we discussed the increase of complexity which was produced by changing the coupling number from 2 to 3. Here, the increase of complexity was defined as the fluctuation of the pattern formation. The non-linear oscillator used was the Lorenz chaos water wheel model for which the parameter for obtaining the chaos solution was known. We tried the confirmationof the increase of the complexity by using chaos system which is the typical example of the non-linear pattern. We examined the rotary motion of three water wheels combined by the linear coupling of the resistance proportional to the difference of angular velocity. Calculations were performed by the parallel computer processing which assigned the processing of one water wheel to one processor. For our calculation system, time profile of the resonance motion of each water wheel was directly observed. When each coupling strength kl was 3[s-1], three time profiles existed in 5 conditions. These were the condition resonant with three, three 2 cluster conditions, and the condition that was not resonant with three. The change of each condition was not periodic. In case of the linear network, the condition that only the time series of central water wheel was not resonant was hardly confirmed. On the other hand, there was not such tendency in the circular network. Through the whole, the orbits which mapped the time series of water wheel onto three dimensional topological space by the Takens theory were almost isomorphic. Therefore, the increase of complexity by changing from 2 to 3 was suggested only for the state transition of the time series of three water wheels. | |||||||||||||
| 言語 | en | |||||||||||||
| 書誌情報 |
神奈川工科大学研究報告.B,理工学編 巻 26, p. 93-105, 発行日 2002-03-20 |
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| 出版者 | ||||||||||||||
| 出版者 | 神奈川工科大学 | |||||||||||||
| ISSN | ||||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||||
| 収録物識別子 | 09161902 | |||||||||||||
| 書誌レコードID | ||||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||||
| 収録物識別子 | AN10074179 | |||||||||||||
| フォーマット | ||||||||||||||
| 内容記述タイプ | Other | |||||||||||||
| 内容記述 | application/pdf | |||||||||||||
| 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 | |||||||||||||
