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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 3, Pages 74–79
(Mi vmumm4408)
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This article is cited in 1 scientific paper (total in 1 paper)
Mechanics
Resonance in multicomponent linear systems
A. A. Lykov, V. A. Malyshev, M. V. Melikian Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We consider large systems of point particles with arbitrary quadratic interaction and harmonic force acting on one fixed particle. Necessary and sufficient conditions for resonance and for uniform boundedness of trajectories are obtained. In the case of resonance, we obtained the large time asymptotics for energy maxima.
Key words:
non-equilibrium statistical physics, resonance, many particle systems, spectrum, bounded trajectories.
Received: 18.11.2020
Citation:
A. A. Lykov, V. A. Malyshev, M. V. Melikian, “Resonance in multicomponent linear systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 3, 74–79; Moscow University Mechanics Bulletin, 76:3 (2021), 88–93
Linking options:
https://www.mathnet.ru/eng/vmumm4408 https://www.mathnet.ru/eng/vmumm/y2021/i3/p74
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Abstract page: | 123 | Full-text PDF : | 19 | References: | 22 | First page: | 18 |
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