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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Published in:Вопросы атомной науки и техники
Date:2001
Main Author: Buts, V.A.
Format: Article
Language:English
Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2001
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/80044
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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
id nasplib_isofts_kiev_ua-123456789-80044
record_format dspace
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Peculiar properties of systems under secondary resonances with an external perturbation
spellingShingle Peculiar properties of systems under secondary resonances with an external perturbation
Buts, V.A.
Kinetic theory
title_short Peculiar properties of systems under secondary resonances with an external perturbation
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_sort peculiar properties of systems under secondary resonances with an external perturbation
author Buts, V.A.
author_facet Buts, V.A.
topic Kinetic theory
topic_facet Kinetic theory
publishDate 2001
language English
container_title Вопросы атомной науки и техники
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
format Article
title_alt Особенности динамики систем при вторичных резонансах с внешним возмущением
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.
issn 1562-6016
url https://nasplib.isofts.kiev.ua/handle/123456789/80044
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.
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