Travelling waves bifurcation of the modified Ginzburg-Landau's equation
The main target of this work is the modified Ginzburg-Landau's equation, addresses given in a monograph of G.G. Malinetskii as one of the equations, where blow-up regimes can be possible. Together with periodic boundary conditions this equation forms a boundary value problem. Existence, stabili...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2008-03-01
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| Series: | Моделирование и анализ информационных систем |
| Online Access: | https://www.mais-journal.ru/jour/article/view/969 |
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| author | A. E. Kotikov A. N. Kulikov |
| author_facet | A. E. Kotikov A. N. Kulikov |
| author_sort | A. E. Kotikov |
| collection | DOAJ |
| description | The main target of this work is the modified Ginzburg-Landau's equation, addresses given in a monograph of G.G. Malinetskii as one of the equations, where blow-up regimes can be possible. Together with periodic boundary conditions this equation forms a boundary value problem. Existence, stability-instability and local bifurcations are the main purposes of this work. It has been shown that in this aspect the results are those that obtained while considering the traditional version of Ginzburg-Landau's equation. The study of bifurcation problem is based on the method of normal forms and adapted to the assigned boundary value problem. |
| format | Article |
| id | doaj-art-7fb16b4ba01b46cbb255e41be265d03f |
| institution | Matheson Library |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2008-03-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-7fb16b4ba01b46cbb255e41be265d03f2025-08-04T14:06:38ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172008-03-011511015710Travelling waves bifurcation of the modified Ginzburg-Landau's equationA. E. Kotikov0A. N. Kulikov1Ярославский государственный университетЯрославский государственный университетThe main target of this work is the modified Ginzburg-Landau's equation, addresses given in a monograph of G.G. Malinetskii as one of the equations, where blow-up regimes can be possible. Together with periodic boundary conditions this equation forms a boundary value problem. Existence, stability-instability and local bifurcations are the main purposes of this work. It has been shown that in this aspect the results are those that obtained while considering the traditional version of Ginzburg-Landau's equation. The study of bifurcation problem is based on the method of normal forms and adapted to the assigned boundary value problem.https://www.mais-journal.ru/jour/article/view/969 |
| spellingShingle | A. E. Kotikov A. N. Kulikov Travelling waves bifurcation of the modified Ginzburg-Landau's equation Моделирование и анализ информационных систем |
| title | Travelling waves bifurcation of the modified Ginzburg-Landau's equation |
| title_full | Travelling waves bifurcation of the modified Ginzburg-Landau's equation |
| title_fullStr | Travelling waves bifurcation of the modified Ginzburg-Landau's equation |
| title_full_unstemmed | Travelling waves bifurcation of the modified Ginzburg-Landau's equation |
| title_short | Travelling waves bifurcation of the modified Ginzburg-Landau's equation |
| title_sort | travelling waves bifurcation of the modified ginzburg landau s equation |
| url | https://www.mais-journal.ru/jour/article/view/969 |
| work_keys_str_mv | AT aekotikov travellingwavesbifurcationofthemodifiedginzburglandausequation AT ankulikov travellingwavesbifurcationofthemodifiedginzburglandausequation |