| Title | The integrability of the generalized Hamiltonian system |
| Publication Type | Journal Article |
| Year of Publication | 2024 |
| Authors | Georgieva B |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 111 |
| Start Page | 55 |
| Pagination | 55-76 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| Keywords | complete integrability, contact transformations, generalized Hamiltonian system, Herglotz variational principle, integrability, integrable systems |
| Abstract | This paper reviews the generalized Hamiltonian system and its connection to contact transformations. The generalized Hamiltonian system is related to Herglotz variational principle in the same way in which the Hamiltonian system is related to the classical variational principle. We prove a criterion for the integrability of the generalized Hamiltonian system in terms of a complete set of first integrals, and a method of generating such first integrals. These results are due to Gustav Herglotz. |
| DOI | 10.60063/GSU.FMI.111.55-76 |
| Attachment | Size |
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 111-055-076.pdf | 548.47 KB |