Peculiar properties of systems under secondary resonances with an external perturbation

This report is about the dynamics of the Hamiltonian systems with two degrees of freedom, in the presence of a low-frequency disturbance. It is proved that a low-frequency disturbance induces a stochastic instability. Besides, a low-frequency disturbance can stimulate the development of a parametric...

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Опубліковано в: :Вопросы атомной науки и техники
Дата:2001
Автор: Buts, V.A.
Формат: Стаття
Мова:Англійська
Опубліковано: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2001
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Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/80044
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Peculiar properties of systems under secondary resonances with an external perturbation / V.A. Buts // Вопросы атомной науки и техники. — 2001. — № 6. — С. 329-333. — Бібліогр.: 2 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Buts, V.A.
author_facet Buts, V.A.
citation_txt Peculiar properties of systems under secondary resonances with an external perturbation / V.A. Buts // Вопросы атомной науки и техники. — 2001. — № 6. — С. 329-333. — Бібліогр.: 2 назв. — англ.
collection DSpace DC
container_title Вопросы атомной науки и техники
description This report is about the dynamics of the Hamiltonian systems with two degrees of freedom, in the presence of a low-frequency disturbance. It is proved that a low-frequency disturbance induces a stochastic instability. Besides, a low-frequency disturbance can stimulate the development of a parametric instability. This instability is a new mechanism of transformation of low-frequency oscillation energy to a energy of high-frequency oscillation. As examples of the parametric instability development in distributed systems, we have examined the possibility of the parametric amplification of the x-ray radiation emission in crystals and the possibility of the parametric amplification of the waves propagating in gyrotropic media.
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last_indexed 2025-11-28T18:22:47Z
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spelling Buts, V.A.
2015-04-09T16:28:14Z
2015-04-09T16:28:14Z
2001
Peculiar properties of systems under secondary resonances with an external perturbation / V.A. Buts // Вопросы атомной науки и техники. — 2001. — № 6. — С. 329-333. — Бібліогр.: 2 назв. — англ.
1562-6016
PACS: 05.45.+b; 41.20.Jb; 41.50.+h
https://nasplib.isofts.kiev.ua/handle/123456789/80044
This report is about the dynamics of the Hamiltonian systems with two degrees of freedom, in the presence of a low-frequency disturbance. It is proved that a low-frequency disturbance induces a stochastic instability. Besides, a low-frequency disturbance can stimulate the development of a parametric instability. This instability is a new mechanism of transformation of low-frequency oscillation energy to a energy of high-frequency oscillation. As examples of the parametric instability development in distributed systems, we have examined the possibility of the parametric amplification of the x-ray radiation emission in crystals and the possibility of the parametric amplification of the waves propagating in gyrotropic media.
The author thanks A.S. Bakai for useful discussions. The work was supported by STCU (project №855).
en
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
Вопросы атомной науки и техники
Kinetic theory
Peculiar properties of systems under secondary resonances with an external perturbation
Особенности динамики систем при вторичных резонансах с внешним возмущением
Article
published earlier
spellingShingle Peculiar properties of systems under secondary resonances with an external perturbation
Buts, V.A.
Kinetic theory
title Peculiar properties of systems under secondary resonances with an external perturbation
title_alt Особенности динамики систем при вторичных резонансах с внешним возмущением
title_full Peculiar properties of systems under secondary resonances with an external perturbation
title_fullStr Peculiar properties of systems under secondary resonances with an external perturbation
title_full_unstemmed Peculiar properties of systems under secondary resonances with an external perturbation
title_short Peculiar properties of systems under secondary resonances with an external perturbation
title_sort peculiar properties of systems under secondary resonances with an external perturbation
topic Kinetic theory
topic_facet Kinetic theory
url https://nasplib.isofts.kiev.ua/handle/123456789/80044
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