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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| Veröffentlicht in: | Functional Materials |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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НТК «Інститут монокристалів» НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/120068 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862544953935134720 |
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| author | Dvornichenko, A.V. |
| author_facet | Dvornichenko, A.V. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-11-25T04:26:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120068 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-5495 |
| language | English |
| last_indexed | 2025-11-25T04:26:08Z |
| publishDate | 2013 |
| publisher | НТК «Інститут монокристалів» НАН України |
| record_format | dspace |
| spelling | Dvornichenko, A.V. 2017-06-11T05:28:28Z 2017-06-11T05:28:28Z 2013 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 https://nasplib.isofts.kiev.ua/handle/123456789/120068 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. en НТК «Інститут монокристалів» НАН України Functional Materials Modeling and simulation Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system Article published earlier |
| spellingShingle | Influence of nonlinear dissipation and external perturbations on transition scenarios to the chaos in the Lorenz-Haken system Dvornichenko, A.V. Modeling and simulation |
| title | 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_short | 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 |
| topic | Modeling and simulation |
| topic_facet | Modeling and simulation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120068 |
| work_keys_str_mv | AT dvornichenkoav influenceofnonlineardissipationandexternalperturbationsontransitionscenariostothechaosinthelorenzhakensystem |