| Автор | Àlex Haro |
| Дата выпуска | 1999-09-01 |
| dc.description | We apply variational methods to converse KAM theory. These are useful for symplectomorphisms in the annulus that satisfy weaker hypotheses than those usually required. For instance, we do not need the existence of a global Lagrangian generating function. We obtain the variational principles from the primitive function of our symplectomorphism. They are introduced not only for the orbits of a symplectomorphism, but also for the so-called invariant Lagrangian graphs (ILG). Among the non-degenerate ILG we focus on the minimizing ones. Applications are also described for a broad class of examples. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Converse KAM theory for monotone positive symplectomorphisms |
| Тип | paper |
| DOI | 10.1088/0951-7715/12/5/306 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 12 |
| Первая страница | 1299 |
| Последняя страница | 1322 |
| Аффилиация | Àlex Haro; Departament de Matemàtica Aplicada i Anàlisi, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain |
| Выпуск | 5 |
