Exploració per tema "Rotation number"
Ara es mostren els items 1-6 de 6
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On 2- and 3-periodic Lyness difference equations
(2011-06-09)
Article
Accés obertWe describe the sequences {xn}n given by the non-autonomous second-order Lyness difference equations xnþ2 ¼ ðan þ xnþ1Þ=xn, where {an}n is either a 2-periodic or a 3- periodic sequence of positive values and the initial ... -
On periodic solutions of 2-periodic Lyness difference equations
(2012-01-04)
Altres
Accés obertWe study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with positive initial conditions. It is known ... -
On Poncelet's maps
(2010-08-08)
Article
Accés obertGiven 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 ... -
On two and three periodic Lyness difference equations
(2009-12-26)
Report de recerca
Accés obertWe describe the sequences {x_n}_n given by the non-autonomous second order Lyness difference equations x_{n+2}=(a_n+x_{n+1})/x_n, where {a_n}_n is either a 2-periodic or a 3-periodic sequence of positive values and the ... -
Resonance tongues and spectral gaps in quasi-periodic schrödinger operators with one or more frequencies. A numerical exploration
(2010-07)
Report de recerca
Accés obertAbstract. In this paper we investigate numerically the spectrum of some representative examples of discrete one-dimensional Schr¨odinger operators with quasi-periodic potential in terms of a perturbative constant b and ... -
Resonance tongues in the quasi-periodic hill-Schrödinger equation with three frequencies
(2010-07)
Report de recerca
Accés obertIn this paper we investigate numerically the following Hill’s equation x00 + (a + bq(t))x = 0 where q(t) = cos t + cosp2t + cosp3t is a quasiperiodic forcing with three rationally independent frequencies. It appears,also, as ...
