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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Bibliographic Details
Date:2013
Main Author: Dvornichenko, A.V.
Format: Article
Language:English
Published: НТК «Інститут монокристалів» НАН України 2013
Series:Functional Materials
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/120068
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.