Renormalization and forcing of horseshoe orbits

In this paper we deal with the Boyland forcing of horseshoe orbits. We prove that there exists a set R of renormalizable horseshoe orbits containing only quasi-one-dimensional orbits, that is, for these orbits the Boyland order coincides with the unimodal order.

Detalles Bibliográficos
Autor: Mendoza, Valentín
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Institución:Universidade Federal de Viçosa (UFV)
Repositorio:LOCUS Repositório Institucional da UFV
Idioma:inglés
OAI Identifier:oai:locus.ufv.br:123456789/22573
Acceso en línea:https://doi.org/10.1016/j.topol.2014.06.002
http://www.locus.ufv.br/handle/123456789/22573
Access Level:acceso abierto
Palabra clave:Horseshoe orbits
Boyland order
Renormalization
Descripción
Sumario:In this paper we deal with the Boyland forcing of horseshoe orbits. We prove that there exists a set R of renormalizable horseshoe orbits containing only quasi-one-dimensional orbits, that is, for these orbits the Boyland order coincides with the unimodal order.