Jacobi polynomials and Lax representation for completely integrable dynamical systems
We consider a method aimed at the investigation of completely integrable dynamical systems by using the Lax representation of their equations of motion. The Lax representations are found for the integrable case of the Henon-Heiles system and for an anisotropic oscillator.
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| Date: | 1994 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5663 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511890795397120 |
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| author | Enolskii, V. Z. Kondratev, A. Yu. Энольский, В. З. Кондратьев, А. Ю. Энольский, В. З. Кондратьев, А. Ю. |
| author_facet | Enolskii, V. Z. Kondratev, A. Yu. Энольский, В. З. Кондратьев, А. Ю. Энольский, В. З. Кондратьев, А. Ю. |
| author_sort | Enolskii, V. Z. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:19Z |
| description | We consider a method aimed at the investigation of completely integrable dynamical systems by using the Lax representation of their equations of motion. The Lax representations are found for the integrable case of the Henon-Heiles system and for an anisotropic oscillator. |
| first_indexed | 2026-03-24T03:20:05Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5663 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:05Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fa/e7225eec286cf17d09958fa57b9378fa.pdf |
| spelling | umjimathkievua-article-56632020-03-19T09:15:19Z Jacobi polynomials and Lax representation for completely integrable dynamical systems Полиномы Якоби и представление Лакса для вполне интегрируемых динамических систем Enolskii, V. Z. Kondratev, A. Yu. Энольский, В. З. Кондратьев, А. Ю. Энольский, В. З. Кондратьев, А. Ю. We consider a method aimed at the investigation of completely integrable dynamical systems by using the Lax representation of their equations of motion. The Lax representations are found for the integrable case of the Henon-Heiles system and for an anisotropic oscillator. Розглядається метод дослідження цілком інтегровних динамічних систем шляхом зображені їх рівнянь руху у формі Лакса. Одержані зображення Лакса для інтегровного випадку систеї Енона — Еліса та анізотропного осцилятора. Institute of Mathematics, NAS of Ukraine 1994-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5663 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 8 (1994); 1088–1091 Український математичний журнал; Том 46 № 8 (1994); 1088–1091 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5663/8011 https://umj.imath.kiev.ua/index.php/umj/article/view/5663/8012 Copyright (c) 1994 Enolskii V. Z.; Kondratev A. Yu. |
| spellingShingle | Enolskii, V. Z. Kondratev, A. Yu. Энольский, В. З. Кондратьев, А. Ю. Энольский, В. З. Кондратьев, А. Ю. Jacobi polynomials and Lax representation for completely integrable dynamical systems |
| title | Jacobi polynomials and Lax representation for completely integrable dynamical systems |
| title_alt | Полиномы Якоби и представление Лакса для вполне интегрируемых динамических систем |
| title_full | Jacobi polynomials and Lax representation for completely integrable dynamical systems |
| title_fullStr | Jacobi polynomials and Lax representation for completely integrable dynamical systems |
| title_full_unstemmed | Jacobi polynomials and Lax representation for completely integrable dynamical systems |
| title_short | Jacobi polynomials and Lax representation for completely integrable dynamical systems |
| title_sort | jacobi polynomials and lax representation for completely integrable dynamical systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5663 |
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