| Автор | Tore M Jonassen |
| Дата выпуска | 1997-02-07 |
| dc.description | We define the n-lift of a one-dimensional system . The n-lift can be thought of as a perturbation of the one-dimensional system depending on the state of the system n-1 time-steps back. We prove that certain f-invariant Cantor sets give invariant Cantor sets in the lifted system. We prove that if f has an invariant hyperbolic Cantor set then the lifted system has an invariant hyperbolic Cantor set provided the derivatives of f obey a simple condition. We also prove that hyperbolicity is preserved if the same conditions on the derivatives of f hold. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Lifts of one-dimensional systems: I. Hyperbolic behaviour |
| Тип | paper |
| DOI | 10.1088/0305-4470/30/3/018 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | 937 |
| Последняя страница | 948 |
| Аффилиация | Tore M Jonassen; Oslo College, Faculty of Engineering, Cort Adelersgt. 30, N-0254 Oslo, Norway |
| Выпуск | 3 |
