Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system

We studied an influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system. It was shown that variation in the values of external potential parameters leads to parameters domain formation which results in the chaos appearance. We have...

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Бібліографічні деталі
Дата:2013
Автор: Dvornichenko, A.V.
Формат: Стаття
Мова:English
Опубліковано: НТК «Інститут монокристалів» НАН України 2013
Назва видання:Functional Materials
Теми:
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/120068
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system / A.V. Dvornichenko // Functional Materials. — 2013. — Т. 20, № 2. — С. 227-233. — Бібліогр.: 18 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-120068
record_format dspace
spelling irk-123456789-1200682017-06-12T03:03:48Z Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system Dvornichenko, A.V. Modeling and simulation We studied an influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system. It was shown that variation in the values of external potential parameters leads to parameters domain formation which results in the chaos appearance. We have found that in the modified Lorenz-Haken system transitions from the regular to chaotic dynamics can be of Ruelle-Takens scenario, Feigenbaum scenario, or through intermittency. 2013 Article Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system / A.V. Dvornichenko // Functional Materials. — 2013. — Т. 20, № 2. — С. 227-233. — Бібліогр.: 18 назв. — англ. 1027-5495 DOI: dx.doi.org/10.15407/fm20.02.227 http://dspace.nbuv.gov.ua/handle/123456789/120068 en Functional Materials НТК «Інститут монокристалів» НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Modeling and simulation
Modeling and simulation
spellingShingle Modeling and simulation
Modeling and simulation
Dvornichenko, A.V.
Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system
Functional Materials
description We studied an influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system. It was shown that variation in the values of external potential parameters leads to parameters domain formation which results in the chaos appearance. We have found that in the modified Lorenz-Haken system transitions from the regular to chaotic dynamics can be of Ruelle-Takens scenario, Feigenbaum scenario, or through intermittency.
format Article
author Dvornichenko, A.V.
author_facet Dvornichenko, A.V.
author_sort Dvornichenko, A.V.
title Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system
title_short Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system
title_full Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system
title_fullStr Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system
title_full_unstemmed Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system
title_sort influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the lorenz-haken system
publisher НТК «Інститут монокристалів» НАН України
publishDate 2013
topic_facet Modeling and simulation
url http://dspace.nbuv.gov.ua/handle/123456789/120068
citation_txt Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system / A.V. Dvornichenko // Functional Materials. — 2013. — Т. 20, № 2. — С. 227-233. — Бібліогр.: 18 назв. — англ.
series Functional Materials
work_keys_str_mv AT dvornichenkoav influenceofnonlineardissipationandexternalperturbationsontransitionscenariostothechaosinthelorenzhakensystem
first_indexed 2023-10-18T20:36:08Z
last_indexed 2023-10-18T20:36:08Z
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