Skew product attractors and concavity

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dc.contributor.author	Alsedà i Soler, Lluís
dc.contributor.author	Misiurewicz, Michal
dc.date	2015
dc.identifier	https://ddd.uab.cat/record/145369
dc.identifier	urn:10.1090/S0002-9939-2014-12271-4
dc.identifier	urn:oai:ddd.uab.cat:145369
dc.identifier	urn:gsduab:3220
dc.identifier	urn:scopus_id:84919343517
dc.identifier	urn:oai:egreta.uab.cat:publications/1d1e353a-a56c-41a7-94eb-938f320b8a7a
dc.identifier	urn:articleid:10886826v143n2p703
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Ministerio de Ciencia e Innovación MTM2008-01486
dc.relation	Proceedings of the American Mathematical Society ; Vol. 143 Núm. 2 (2015), p. 703-716
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.subject	Attractors
dc.subject	Concavity
dc.subject	Monotonicity
dc.subject	Quasiperiodic forcing
dc.subject	Skew product
dc.title	Skew product attractors and concavity
dc.type	Article
dc.description.abstract	We propose an approach to the attractors of skew products that tries to avoid unnecessary structures on the base space and rejects the assumption on the invariance of an attractor. When nonivertible maps in the base are allowed, one can encounter the mystery of the vanishing attractor. In the second part of the paper, we show that if the fiber maps are concave interval maps then contraction in the fibers does not depend on the map in the base.