visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > A quasiperiodically forced skew-product on the cyclinder without fixed-curves |
Data: | 2016 |
Resum: | In [FJJK] the Sharkovskiı 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 Sharkovskiı Theorem holds 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. [FJJK] Roberta Fabbri, Tobias Jäger, Russell Johnson, and Gerhard Keller. A Sharkovskii-type theorem for minimally forced interval maps. Topol. Methods Nonlinear Anal. , 26(1):163--188, 2005. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-01486 Ministerio de Economía y Competitividad MTM2011-26995-C02-01 Ministerio de Economía y Competitividad MTM2014-52209-C2-1 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Invariant strips ; Quasiperiodically forced systems on the cylinder |
Publicat a: | Nonlinear Analysis : Theory, Methods and Applications, Vol. 145 (2016) , p. 199-263, ISSN 0362-546X |
Postprint 62 p, 2.3 MB |