Two counterexamples in rational and interval dynamics
| dc.creator | Mihalache, Nicolae | |
| dc.date | 2008-10-08 | |
| dc.date.accessioned | 2026-07-07T10:08:33Z | |
| dc.date.available | 2026-07-07T10:08:33Z | |
| dc.description | In rational dynamics, we prove the existence of a polynomial that satisfies the Topological Collet-Eckmann condition, but which has a recurrent critical orbit that is not Collet-Eckmann. This shows that the converse of the main theorem in [11] does not hold. In interval dynamics, we show that the Collet-Eckmann property for recurrent critical orbits is not a topological invariant for real polynomials with negative Schwarzian derivative. This contradicts a conjecture of Swiatek [22]. | |
| dc.description | 49 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0810.1474 | |
| dc.identifier | http://arxiv.org/abs/0810.1474 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171035 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D25 (Primary) 37E05, 37F10, 37G15, 37B10 (Secondary) | |
| dc.title | Two counterexamples in rational and interval dynamics | |
| dc.type | text |