BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION
We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg– Landau equation subject to a large third-order dispersion perturbation.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2015-06-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/254 |
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| _version_ | 1839573212071985152 |
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| author | I. I. Ovsyannikov D. V. Turaev S. V. Zelik |
| author_facet | I. I. Ovsyannikov D. V. Turaev S. V. Zelik |
| author_sort | I. I. Ovsyannikov |
| collection | DOAJ |
| description | We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg– Landau equation subject to a large third-order dispersion perturbation. |
| format | Article |
| id | doaj-art-68bbb39db8894a9982d2380e68d13b9f |
| institution | Matheson Library |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2015-06-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-68bbb39db8894a9982d2380e68d13b9f2025-08-04T14:06:41ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-06-0122332733610.18255/1818-1015-2015-3-327-336243BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSIONI. I. Ovsyannikov0D. V. Turaev1S. V. Zelik2Lobachevsky University of Nizhny Novgorod; Universitat Bremen, Germany Jacobs UniversityImperial College, LondonUniversity of Surrey GuildfordWe give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg– Landau equation subject to a large third-order dispersion perturbation.https://www.mais-journal.ru/jour/article/view/254bifurcationschaosginzburg–landau equation |
| spellingShingle | I. I. Ovsyannikov D. V. Turaev S. V. Zelik BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION Моделирование и анализ информационных систем bifurcations chaos ginzburg–landau equation |
| title | BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION |
| title_full | BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION |
| title_fullStr | BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION |
| title_full_unstemmed | BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION |
| title_short | BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION |
| title_sort | bifurcation to chaos in the сomplex ginzburg landau equation with large third order dispersion |
| topic | bifurcations chaos ginzburg–landau equation |
| url | https://www.mais-journal.ru/jour/article/view/254 |
| work_keys_str_mv | AT iiovsyannikov bifurcationtochaosinthesomplexginzburglandauequationwithlargethirdorderdispersion AT dvturaev bifurcationtochaosinthesomplexginzburglandauequationwithlargethirdorderdispersion AT svzelik bifurcationtochaosinthesomplexginzburglandauequationwithlargethirdorderdispersion |