| Автор | Debin Huang |
| Автор | Zengrong Liu |
| Дата выпуска | 2000-01-01 |
| dc.description | In this paper, sufficiently smooth Hamiltonian systems with perturbations are considered. By combining a smooth version of the Kolmogorov-Arnold-Moser theorem and the theory of normally hyperbolic invariant manifolds, we show that under the conditions of nonresonance and nondegeneracy, most hyperbolic invariant tori and their stable and unstable manifolds survive smoothly under sufficiently smooth autonomous perturbation. This result can be generalized directly to the case of time-dependent quasi-periodic perturbations. Finally, an example from geometrical optics is used to illustrate our method. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems |
| Тип | paper |
| DOI | 10.1088/0951-7715/13/1/309 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 13 |
| Первая страница | 189 |
| Последняя страница | 202 |
| Аффилиация | Debin Huang; LNM, Institute of Mechanics, Academy of China, People's Republic of China; Mathematical Department, Shanghai University, Shanghai 201800, People's Republic of China |
| Аффилиация | Zengrong Liu; LNM, Institute of Mechanics, Academy of China, People's Republic of China; Mathematical Department, Shanghai University, Shanghai 201800, People's Republic of China |
| Выпуск | 1 |
