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Recent Submissions
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Singular solutions for a class of traveling wave equations arising in hydrodynamics (Poster)
(2016-07-07)
Other
Open Access -
Active vibration control in mechanical systems
(2014-08-04)
Other
Open Access -
Prácticas complementarias al curso de Matemáticas II al tema de las derivadas parciales: Procesamiento digital de imágenes
(2015-04-08)
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Open AccessDocumento docente sobre algunas aplicaciones de las derivadas parciales al procesamiento digital de imágenes. -
Dynamics of integrable birational maps preserving genus 0 foliations
(2014-10-03)
Other
Open Access -
Periodic orbits of integrable birational maps on the plane: blending dynamics and algebraic geometry, the Lyness' case
(2012-10)
Other
Open AccessContingut del Pòster presentat al congrés New Trends in Dynamical Systems -
Global periodicity conditions for maps and recurrences via Normal Forms
(2012-05-04)
Other
Open AccessWe face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions ... -
On periodic solutions of 2-periodic Lyness difference equations
(2012-01-04)
Other
Open AccessWe 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 ... -
Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version)
(2011-12-22)
Other
Open AccessThis paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an+xn+1)=xn, where fang is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k 2 f1; 2; 3; 6g the ... -
Integrability and non-integrability of periodic non-autonomous Lyness recurrences
(2010-12-22)
Other
Open AccessThis paper studies non-autonomous Lyness type recurrences of the form x_{n+2}=(a_n+x_n)/x_{n+1}, where a_n is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k in {1,2,3,6} the ... -
Rational periodic sequences for the Lyness recurrence
(2010-04-30)
Other
Open AccessConsider the celebrated Lyness recurrence $x_{n+2}=(a+x_{n+1})/x_{n}$ with $a\in\Q$. First we prove that there exist initial conditions and values of $a$ for which it generates periodic sequences of rational numbers with ... -
On two and three periodic Lyness difference equations
(2009-12-26)
Research report
Open AccessWe 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 ...
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