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On the numerical computation of Diophantine rotation numbers of analytic circle maps
dc.contributor.author | Martínez-Seara Alonso, M. Teresa |
dc.contributor.author | Villanueva Castelltort, Jordi |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-07T17:10:27Z |
dc.date.available | 2007-05-07T17:10:27Z |
dc.date.issued | 2004 |
dc.identifier.uri | http://hdl.handle.net/2117/919 |
dc.description.abstract | In 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.extent | 27 pages |
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.other | Dynamical systems |
dc.title | On the numerical computation of Diophantine rotation numbers of analytic circle maps |
dc.type | Article |
dc.subject.lemac | Sistemes dinàmics |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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