Absorbing Cantor sets in dynamical systems: Fibonacci maps
| dc.creator | Bruin, Henk | |
| dc.creator | Keller, Gerhard | |
| dc.creator | Nowicki, Tomasz | |
| dc.creator | van Strien, Sebastian | |
| dc.date | 1994-01-29 | |
| dc.date.accessioned | 2026-07-07T09:15:03Z | |
| dc.date.available | 2026-07-07T09:15:03Z | |
| dc.description | In this paper we shall show that there exists a polynomial unimodal map f: [0,1] -> [0,1] which is 1) non-renormalizable(therefore for each x from a residual set, $ω(x)$ is equal to an interval), 2) for which $ω(c)$ is a Cantor set, and 3) for which $ω(x)=ω(c)$ for Lebesgue almost all x. So the topological and the metric attractor of such a map do not coincide. This gives the answer to a question posed by Milnor. | |
| dc.identifier | https://arxiv.org/abs/math/9401225 | |
| dc.identifier | http://arxiv.org/abs/math/9401225 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152891 | |
| dc.subject | Dynamical Systems | |
| dc.title | Absorbing Cantor sets in dynamical systems: Fibonacci maps | |
| dc.type | text |