Автор |
Aulbach, Bernd |
Автор |
Wanner†, Thomas |
Дата выпуска |
2003 |
dc.description |
In this paper, we continue a previous study of the geometric properties of a certain prototype system of nonautonomous difference equations. In fact, we show that by means of the fundamental theorem on the existence of invariant fiber bundles two foliations of the extended state space can be found. This detailed information about the geometric structure of the underlying system is then used to construct transformations establishing the topological equivalence between a given coupled and a completely uncoupled system. |
Формат |
application.pdf |
Издатель |
Taylor & Francis Group |
Копирайт |
Copyright Taylor and Francis Group, LLC |
Тема |
Invariant manifold |
Тема |
Invariant fiber bundle |
Тема |
Invariant foliation |
Тема |
Decoupling |
Тема |
Non-autonomous difference equation |
Тема |
Non-invertible difference equation |
Тема |
39A10 |
Тема |
39A11 |
Тема |
58F10 |
Название |
Invariant Foliations and Decoupling of Non-autonomous Difference Equations |
Тип |
research-article |
DOI |
10.1080/1023619031000076524 |
Electronic ISSN |
1563-5120 |
Print ISSN |
1023-6198 |
Журнал |
Journal of Difference Equations and Applications |
Том |
9 |
Первая страница |
459 |
Последняя страница |
472 |
Аффилиация |
Aulbach, Bernd; Department of Mathematics, University of Augsburg |
Аффилиация |
Wanner†, Thomas; Department of Mathematics and Statistics, University of Maryland |
Выпуск |
5 |