| Автор | Tompaidis, Stathis |
| Дата выпуска | 1996 |
| dc.description | The existence of an invariant surface in high-dimensional systems greatly influences the. behavior in a neighborhood of the invariant surface. We prove theorems that predict the behavior of periodic orbits in the vicinity of an invariant surface on which the motion is conjugate to a Diophantine rotation for symplectic maps and quasiperiodic perturbations of symplectic maps. Our results allow for efficient numerical algorithms that can serve as an indication for the breakdown of invariant surfaces. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Approximation of Invariant Surfaces by Periodic Orbits in High-Dimensional Maps: Some Rigorous Results |
| Тип | research-article |
| DOI | 10.1080/10586458.1996.10504588 |
| Electronic ISSN | 1944-950X |
| Print ISSN | 1058-6458 |
| Журнал | Experimental Mathematics |
| Том | 5 |
| Первая страница | 197 |
| Последняя страница | 209 |
| Аффилиация | Tompaidis, Stathis; Department of Mathematics, University of Toronto |
| Выпуск | 3 |
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