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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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НТК «Інститут монокристалів» НАН України
2013
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| Series: | Functional Materials |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/120068 |
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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 |
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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 |
| _version_ |
1796150628518461440 |