The forcing partial order on a family of braids forced by pseudo-Anosov 3-braids

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dc.creatorKin, Eiko
dc.date2007-11-28
dc.date.accessioned2026-07-07T08:45:46Z
dc.date.available2026-07-07T08:45:46Z
dc.descriptionLi-York theorem tells us that a period 3 orbit for a continuous map of the interval into itself implies the existence of a periodic orbit of every period. This paper concerns an analogue of the theorem for homeomorphisms of the 2-dimensional disk. In this case a periodic orbit is specified by a braid type and on the set of all braid types Boyland's dynamical partial order can be defined. We describe the partial order on a family of braids and show that a period 3 orbit of pseudo-Anosov braid type implies the Smale-horseshoe map which is a factor possessing complicated chaotic dynamics.
dc.description16 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0711.4398
dc.identifierhttp://arxiv.org/abs/0711.4398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143064
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject37E30, 57M25 (Primary) 57M50 (Secondary)
dc.titleThe forcing partial order on a family of braids forced by pseudo-Anosov 3-braids
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