| Автор | M Crampin |
| Автор | G E Prince |
| Автор | G Thompson |
| Дата выпуска | 1984-05-11 |
| dc.description | Appropriate geometrical machinery for the study of time-dependent Lagrangian dynamics is developed. It is applied to the inverse problem of the calculus of variations, and a set of necessary and sufficient conditions for the existence of a Lagrangian are given, in terms of the existence of a 2-form with suitable properties, which are exactly equivalent to the Helmholtz conditions. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics |
| Тип | paper |
| DOI | 10.1088/0305-4470/17/7/011 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 17 |
| Первая страница | 1437 |
| Последняя страница | 1447 |
| Аффилиация | M Crampin; Faculty of Maths., Open Univ., Milton Keynes, UK |
| Аффилиация | G E Prince; Faculty of Maths., Open Univ., Milton Keynes, UK |
| Аффилиация | G Thompson; Faculty of Maths., Open Univ., Milton Keynes, UK |
| Выпуск | 7 |
