A quasiperiodically forced skew-product on the cylinder without fixed-curves

Consultar RECERCAT

Utilizad este identificador para citar o enlazar este documento: http://hdl.handle.net/2072/445753

dc.contributor.author	Alsedà, L.
dc.contributor.author	Mañosas, F.
dc.contributor.author	Morales, L.
dc.date.accessioned	2021-03-18T23:38:19Z
dc.date.available	2021-03-18T23:38:19Z
dc.date.created	2016-01-01
dc.date.issued	2016-01-01
dc.identifier.uri	http://hdl.handle.net/2072/445753
dc.format.extent	65 p.
dc.language.iso	eng
dc.publisher	Elsevier Ltd
dc.source	RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other	51
dc.title	A quasiperiodically forced skew-product on the cylinder without fixed-curves
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.embargo.terms	12 mesos
dc.identifier.doi	10.1016/j.na.2016.08.011
dc.rights.accessLevel	info:eu-repo/semantics/openAccess
dc.description.abstract	In Fabbri et al. (2005) the Sharkovskiĭ Theorem was extended to periodic orbits of strips of quasiperiodic skew products in the cylinder. In this paper we deal with the following natural question that arises in this setting: Does Sharkovskiĭ Theorem hold when restricted to curves instead of general strips? We answer this question in the negative by constructing a counterexample: We construct a map having a periodic orbit of period 2 of curves (which is, in fact, the upper and lower circles of the cylinder) and without any invariant curve. In particular this shows that there exist quasiperiodic skew products in the cylinder without invariant curves. © 2016 Elsevier Ltd

Ficheros	Tamaño	Formato
1-s2.0-S0362546X16301833-mainMaRcAt.pdf	2.236 MB	PDF

Alsedà, L.; Juher, D.; Mañosas, F.

Cantarero, J.; Castellana, N.; Morales, L.

Cima, A.; Gasull, A.; Mañosa, V.; Mañosas, F.

Corral, A.; Sardanyés, J.; Alsedà, L.

Alsedà, L.; Vidiella, B.; Solé, R.; Lázaro, J.T.; Sardanyés, J.

Coordinación

Patrocinio