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タイトル: | Towards a classification of bifurcations in Vlasov equations |
著者: | Barré, J. Métivier, D. Yamaguchi, Y. Y. |
著者名の別形: | 山口, 義幸 |
発行日: | Nov-2020 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review E |
巻: | 102 |
号: | 5 |
論文番号: | 052208 |
抄録: | We propose a classification of bifurcations of Vlasov equations, based on the strength of the resonance between the unstable mode and the continuous spectrum on the imaginary axis. We then identify and characterize a new type of generic bifurcation where this resonance is weak, but the unstable mode couples with a stable mode and a Casimir invariant of the system to form a size-3 Jordan block. We derive a three-dimensional reduced noncanonical Hamiltonian system describing this bifurcation. Comparison of the reduced dynamics with direct numerical simulations on a test case gives excellent agreement. We finally discuss the relevance of this bifurcation to specific physical situations. |
著作権等: | ©2020 American Physical Society |
URI: | http://hdl.handle.net/2433/258958 |
DOI(出版社版): | 10.1103/physreve.102.052208 |
PubMed ID: | 33327081 |
出現コレクション: | 学術雑誌掲載論文等 |
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