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Rotation sets for orbits of degree one circle maps
dc.contributor.author | Alseda Soler, Lluís |
dc.contributor.author | Chas, Moira |
dc.contributor.author | Mañosas Capellades, Francesc |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-04-30T09:01:24Z |
dc.date.available | 2007-04-30T09:01:24Z |
dc.date.created | 2000 |
dc.date.issued | 2000 |
dc.identifier.uri | http://hdl.handle.net/2117/807 |
dc.description.abstract | Let F be the lifting of a circle map of degree one. In [R. Bam´on, I. P. Malta, M. J. Pacifico and F.Takens, Ergodic Theory Dyn. Syst. 4, 493-498 (1984; Zbl 0605.58027)], a notion of F-rotation interval of a point x 2 S1 was given. In this paper, we define and study a new notion of a rotation set of a point which preserves more of the dynamical information contained in the sequences {Fn(y)}1n=0 than the one preserved from [R. Bam´on et al., loc. cit.]. In particular, we characterize dynamically the endpoints of these sets and we obtain an analogous version of the main theorem in [Bam´on et al., 1984] in our settings. |
dc.format.extent | 13 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Dynamical systems |
dc.subject.lcsh | Topology |
dc.subject.other | rotation numbers which could be calculated from a sequence |
dc.subject.other | continuous maps of the circle of degree one |
dc.title | Rotation sets for orbits of degree one circle maps |
dc.type | Article |
dc.subject.lemac | Topologia |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems |
dc.subject.ams | Classificació AMS::54 General topology::54H Connections with other structures, applications |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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