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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevE.107.054203.pdf | 823.65 kB | Adobe PDF | 見る/開く |
タイトル: | Discontinuous codimension-two bifurcation in a Vlasov equation |
著者: | Yamaguchi, Yoshiyuki Y. Barré, Julien |
著者名の別形: | 山口, 義幸 |
キーワード: | Bifurcations Classical mechanics Hamiltonian systems Nonlinear Dynamics |
発行日: | May-2023 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review E |
巻: | 107 |
号: | 5 |
論文番号: | 054203 |
抄録: | In a Vlasov equation, the destabilization of a homogeneous stationary state is typically described by a continuous bifurcation characterized by strong resonances between the unstable mode and the continuous spectrum. However, when the reference stationary state has a flat top, it is known that resonances drastically weaken and the bifurcation becomes discontinuous. In this article we analyze one-dimensional spatially periodic Vlasov systems, using a combination of analytical tools and precise numerical simulations to demonstrate that this behavior is related to a codimension-two bifurcation, which we study in detail. |
著作権等: | ©2023 American Physical Society |
URI: | http://hdl.handle.net/2433/282896 |
DOI(出版社版): | 10.1103/physreve.107.054203 |
PubMed ID: | 37328987 |
出現コレクション: | 学術雑誌掲載論文等 |
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