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ファイル | 記述 | サイズ | フォーマット | |
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PTPS.194.210 .pdf | 207.7 kB | Adobe PDF | 見る/開く |
タイトル: | Conservation Laws and Symmetries in Competitive Systems |
著者: | Uechi, Lisa Akutsu, Tatsuya https://orcid.org/0000-0001-9763-797X (unconfirmed) |
著者名の別形: | 上地, 理沙 阿久津, 達也 |
発行日: | 2012 |
出版者: | 理論物理学刊行会 |
誌名: | Progress of Theoretical Physics Supplement |
巻: | 194 |
開始ページ: | 210 |
終了ページ: | 222 |
抄録: | We investigate a conservation law of a system of symmetric 2n-dimensional nonlinear differential equations. We use Lagrangian approach and Noether's theorem to analyze Lotka-Volterra type of competitive system. We observe that the coefficients of the 2n-dimensional nonlinear differential equations are strictly restricted when the system has a conserved quantity, and the relation between a conserved system and Lyapunov function is shown in terms of Noether's theorem. We find that a system of the 2n-dimensional first-order nonlinear differential equations in a symmetric form should appear in a binary-coupled form (BCF), and a BCF has a conserved quantity if parameters satisfy certain conditions. The conservation law manifests characteristic properties of a system of nonlinear differential equations and can be employed to check the accuracy of numerical solutions in the BCF. |
著作権等: | © Progress of Theoretical Physics 2012 This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/158039 |
DOI(出版社版): | 10.1143/PTPS.194.210 |
関連リンク: | http://ptp.ipap.jp/link?PTPS/194/210/ |
出現コレクション: | 学術雑誌掲載論文等 |
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