Rotation number - Search Results - UAB Digital Repository of Documents

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Results overview: Found 5 records in 0.07 seconds.
Articles, 4 records found Books and collections, 1 records found

Articles	4 records found

18 p, 1.9 MB

An algorithm to compute rotation intervals of circle maps / Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Borrós-Culllell, Salvador (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this article we present an efficient algorithm to compute rotation intervals of circle maps of degree one. It is based on the computation of the rotation number of a monotone circle map of degree one with a constant section. [...]
2021 - DOI (Digital Object Identifier)

10.1016/j.cnsns.2021.105915
Communications in nonlinear science and numerical simulation, Vol. 102 (November 2021) , art. 105915

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14 p, 663.8 KB

On Poncelet's maps / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
Given two ellipses, one surrounding the other one, Poncelet introduced a map P from the exterior one to itself by using the tangent lines to the interior ellipse. This procedure can be extended to any two smooth, nested and convex ovals and we call these types of maps, Poncelet's maps. [...]
2010 - DOI (Digital Object Identifier)

10.1016/j.camwa.2010.06.027
Computers and Mathematics with Applications, Vol. 60, Issue 5 (September 2010) , p. 1457-1464

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27 p, 476.0 KB

On periodic solutions of 2-periodic Lyness difference equations / Bastien, Guy (Université Paris. Institut Mathématique de Jussieu) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III) ; Rogalski, Marc (Université de Lille(France). Laboratoire Paul Painlevé)
We study the existence of periodic solutions of the non-autonomous periodic Lyness'recurrence un+2 = (an + un+1)/un, where {an}n is a cycle with positive values a,b and with positive initial conditions. [...]
2013 - DOI (Digital Object Identifier)

10.1142/S0218127413500715
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 23 Núm. 4 (2013) , p. 1350071 (18 pages)

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19 p, 440.8 KB

On 2- and 3-periodic Lyness difference equations / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We describe the sequences {xn}n given by the non-autonomous second order Lyness difference equations xn+2 = (an + xn+1)/xn, where {an}n is either a 2-periodic or a 3-periodic sequence of positive values and the initial conditions x1, x2 are as well positive. [...]
2012 - DOI (Digital Object Identifier)

10.1080/10236198.2010.524212
Journal of Difference Equations and Applications, Vol. 18 Núm. 5 (2012) , p. 849-864

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Books and collections	1 records found

14 p, 253.9 KB

On the set of periods of the 2-periodic Lyness' equation / Bastien, Guy (Université Pierre et Marie Curie) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Rogalski, Marc (Université des Sciences et Technologies de Lille)
We study the periodic solutions of the non-autonomous periodic Lyness' recurrence u = (a + u )/u, where {a} is a cycle with positive values a,b and with positive initial conditions. Among other methodological issues we give an outline of the proof of the following results: (1) If (a, b) ≠ (1, 1), then there exists a value p(a, b) such that for any p > p(a, b) there exist continua of initial conditions giving rise to 2p-periodic sequences. [...]
Cham, Switzerland: Springer, 2016 (Springer Proceedings in Mathematics & Statistics ; 180) - DOI (Digital Object Identifier)

10.1007/978-3-662-52927-0_22
IDifference Equations, Discrete Dynamical Systems and Applications, 2016, p. 321-335

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