Towards a classification of bifurcations in Vlasov equations
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- 山口, 義幸
- Institut Denis Poisson, Université d'Orléans, CNRS, Université de Tours, France and Institut Universitaire de France
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- Métivier, D.
- Center for Nonlinear Studies and Theoretical Division T-4, Los Alamos National Laboratory
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- Yamaguchi, Y. Y.
- Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University
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説明
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.
収録刊行物
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- Physical Review E
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Physical Review E 102 (5), 2020-11
American Physical Society (APS)
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詳細情報 詳細情報について
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- CRID
- 1051412328428773760
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- NII論文ID
- 120006898198
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- NII書誌ID
- AA11558033
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- ISSN
- 24700045
- 24700053
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- HANDLE
- 2433/258958
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- PubMed
- 33327081
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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