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On the structural stability of discretized Burgers' equation with randomness
http://hdl.handle.net/2297/31363
http://hdl.handle.net/2297/313634e8c96a4-75ae-4c58-accf-3939f96610d0
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
TE-PR-HATAUE-I-2585.pdf (647.5 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | On the structural stability of discretized Burgers' equation with randomness | |||||
| 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 | journal article | |||||
| 著者 |
Hataue, Itaru
× Hataue, Itaru |
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| 書誌情報 |
Information 巻 14, 号 8, p. 2585-2598, 発行日 2011-08-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 1343-4500 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11467743 | |||||
| 出版者 | ||||||
| 出版者 | 国際情報学会 = International Information Institute | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In the present paper, we study the structural stability of discrete dynamical system from the view point of influence of randomness added to deterministic difference equations. One-dimensional Burgers' equation is discretized by central difference method and the dependence of the asymptotic structure on forcibly added randomness is studied. Both of non-conservative and conservative forms are considered. The "Sample Mean Dynamical System(SMDS)" approach is applied in analyzing the degree of dynamical system. It is proposed that we should add a small amount of randomness to deterministic equations in order to make unstable incorrect invariant set removed in getting bifurcation diagrams. The discrete dynamical system in the case of conservative form is shown to be more unstable than that in the case of non-conservative form by analyses of SMDS. It is effective to study the structure of SMDS in evaluating the degree of structural stability of a discrete dynamical system. © 2011 International Information Institute. | |||||
| 権利 | ||||||
| 権利情報 | © 2011 International Information Institute | |||||
| 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 | |||||
| 関連URI | ||||||
| 識別子タイプ | URI | |||||
| 関連識別子 | http://www.information-iii.org/index-j.html | |||||
