A Solution to the Monotonicity Problem for Unimodal Families
| dc.creator | Taylor, John | |
| dc.date | 2008-05-22 | |
| dc.date.accessioned | 2026-07-07T09:40:23Z | |
| dc.date.available | 2026-07-07T09:40:23Z | |
| dc.description | In this note we consider a collection C of one parameter families of unimodal maps of [0,1]. Each family in the collection has the form uf where u is in [0,1]. Denoting the kneading sequence of uf by K(uf), we will prove that for each member of C, the map u->K(uf) is monotone. It then follows that for each member of C the map u -> h(uf) is monotone, where h(uf) is the topological entropy of uf. For interest, uf(x)=4ux(1-x) and uf(x)=usin(pi x) are shown to belong to C. | |
| dc.identifier | https://arxiv.org/abs/0805.3436 | |
| dc.identifier | http://arxiv.org/abs/0805.3436 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161467 | |
| dc.subject | Dynamical Systems | |
| dc.title | A Solution to the Monotonicity Problem for Unimodal Families | |
| dc.type | text |