Routes to chaos through the interaction of high- and low-frequency oscillations

Roads to chaos for systems with the interaction of high- and low-frequency oscillations are considered. Results are presented for quisi-periodically forced Duffing and Van-der-Pole oscillators and a two-mode system driven by a harmonic force. The focus is made on the conditions for chaos under weak...

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Published in:Вопросы атомной науки и техники
Date:2001
Main Authors: Shygimaga, D.V., Vavriv, D.M.
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/123456789/79893
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Routes to chaos through the interaction of high- and low-frequency oscillations / D.V. Shygimaga, D.M. Vavriv // Вопросы атомной науки и техники. — 2001. — № 6. — С. 223-225. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Shygimaga, D.V.
Vavriv, D.M.
author_facet Shygimaga, D.V.
Vavriv, D.M.
citation_txt Routes to chaos through the interaction of high- and low-frequency oscillations / D.V. Shygimaga, D.M. Vavriv // Вопросы атомной науки и техники. — 2001. — № 6. — С. 223-225. — Бібліогр.: 6 назв. — англ.
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container_title Вопросы атомной науки и техники
description Roads to chaos for systems with the interaction of high- and low-frequency oscillations are considered. Results are presented for quisi-periodically forced Duffing and Van-der-Pole oscillators and a two-mode system driven by a harmonic force. The focus is made on the conditions for chaos under weak nonlinearity of the system.
first_indexed 2025-12-07T18:54:39Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1562-6016
language English
last_indexed 2025-12-07T18:54:39Z
publishDate 2001
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
record_format dspace
spelling Shygimaga, D.V.
Vavriv, D.M.
2015-04-06T16:26:39Z
2015-04-06T16:26:39Z
2001
Routes to chaos through the interaction of high- and low-frequency oscillations / D.V. Shygimaga, D.M. Vavriv // Вопросы атомной науки и техники. — 2001. — № 6. — С. 223-225. — Бібліогр.: 6 назв. — англ.
1562-6016
PACS: 29.27.Hj, 29.90.+r
https://nasplib.isofts.kiev.ua/handle/123456789/79893
Roads to chaos for systems with the interaction of high- and low-frequency oscillations are considered. Results are presented for quisi-periodically forced Duffing and Van-der-Pole oscillators and a two-mode system driven by a harmonic force. The focus is made on the conditions for chaos under weak nonlinearity of the system.
The authors are indebted to V.V. Vinogradov for his contributions to this work. The work was partially supported by EC under Contract IC15CT980509.
en
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
Вопросы атомной науки и техники
Anomalous diffusion, fractals, and chaos
Routes to chaos through the interaction of high- and low-frequency oscillations
Пути к хаосу через взаимодействие высоко- и низкочастотных колебаний
Article
published earlier
spellingShingle Routes to chaos through the interaction of high- and low-frequency oscillations
Shygimaga, D.V.
Vavriv, D.M.
Anomalous diffusion, fractals, and chaos
title Routes to chaos through the interaction of high- and low-frequency oscillations
title_alt Пути к хаосу через взаимодействие высоко- и низкочастотных колебаний
title_full Routes to chaos through the interaction of high- and low-frequency oscillations
title_fullStr Routes to chaos through the interaction of high- and low-frequency oscillations
title_full_unstemmed Routes to chaos through the interaction of high- and low-frequency oscillations
title_short Routes to chaos through the interaction of high- and low-frequency oscillations
title_sort routes to chaos through the interaction of high- and low-frequency oscillations
topic Anomalous diffusion, fractals, and chaos
topic_facet Anomalous diffusion, fractals, and chaos
url https://nasplib.isofts.kiev.ua/handle/123456789/79893
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