Indices of the iterates of $R^3$-homeomorphisms at Lyapunov stable fixed points
| dc.creator | del Portal, Francisco R. Ruiz | |
| dc.creator | Salazar, José Manuel | |
| dc.date | 2007-04-18 | |
| dc.date.accessioned | 2026-07-07T07:57:05Z | |
| dc.date.available | 2026-07-07T07:57:05Z | |
| dc.description | Given any positive sequence (\{c_n\}_{n \in {\Bbb N}}), we construct orientation preserving homeomorphisms (f:{\Bbb R}^3 \to {\Bbb R}^3) such that (Fix(f)=Per(f)=\{0\}), (0) is Lyapunov stable and (\limsup \frac{|i(f^m, 0)|}{c_m}= \infty). We will use our results to discuss and to point out some strong differences with respect to the computation and behavior of the sequences of the indices of planar homeomorphisms. | |
| dc.description | 19 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0704.2402 | |
| dc.identifier | http://arxiv.org/abs/0704.2402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127551 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.subject | 37C25, 37B30, 54H25 | |
| dc.title | Indices of the iterates of $R^3$-homeomorphisms at Lyapunov stable fixed points | |
| dc.type | text |