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dc.contributor.authorAlseda Soler, Lluís
dc.contributor.authorChas, Moira
dc.contributor.authorMañosas Capellades, Francesc
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-04-30T09:01:24Z
dc.date.available2007-04-30T09:01:24Z
dc.date.created2000
dc.date.issued2000
dc.identifier.urihttp://hdl.handle.net/2117/807
dc.description.abstractLet 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.extent13
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject.lcshDynamical systems
dc.subject.lcshTopology
dc.subject.otherrotation numbers which could be calculated from a sequence
dc.subject.othercontinuous maps of the circle of degree one
dc.titleRotation sets for orbits of degree one circle maps
dc.typeArticle
dc.subject.lemacTopologia
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems
dc.subject.amsClassificació AMS::54 General topology::54H Connections with other structures, applications
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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