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dc.contributor.authorMartínez-Seara Alonso, M. Teresa
dc.contributor.authorVillanueva Castelltort, Jordi
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-05-07T17:10:27Z
dc.date.available2007-05-07T17:10:27Z
dc.date.issued2004
dc.identifier.urihttp://hdl.handle.net/2117/919
dc.description.abstractIn this paper we present a numerical method to compute Diophantine rotation numbers of circle maps with high accuracy. We mainly focus on analytic circle diffeomorphisms, but the method also works in the case of (enough) finite differentiability. The keystone of the method is that, under these conditions, the map is conjugate to a rigid rotation of the circle. Moreover, albeit it is not fully justified by our construction, the method turns to be quite efficient for computing rational rotation numbers. We discuss the method through several numerical examples.
dc.format.extent27 pages
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.otherDynamical systems
dc.titleOn the numerical computation of Diophantine rotation numbers of analytic circle maps
dc.typeArticle
dc.subject.lemacSistemes dinàmics
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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