A fixed point theorem for bounded dynamical systems
| dc.creator | Richeson, David | |
| dc.creator | Wiseman, Jim | |
| dc.date | 2001-08-08 | |
| dc.date | 2002-09-23 | |
| dc.date.accessioned | 2026-07-07T04:42:55Z | |
| dc.date.available | 2026-07-07T04:42:55Z | |
| dc.description | We show that a continuous map or a continuous flow on $\R^{n}$ with a certain recurrence relation must have a fixed point. Specifically, if there is a compact set W with the property that the forward orbit of every point in $\R^{n}$ intersects W then there is a fixed point in W. Consequently, if the omega limit set of every point is nonempty and uniformly bounded then there is a fixed point. | |
| dc.description | 4 pages, minor clarifications | |
| dc.identifier | https://arxiv.org/abs/math/0108064 | |
| dc.identifier | http://arxiv.org/abs/math/0108064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61995 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 54H25 (Primary), 37B30, 37B25 (Secondary) | |
| dc.title | A fixed point theorem for bounded dynamical systems | |
| dc.type | text |