### Recent Submissions

(2016-07-07)
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Open Access

(2014-08-04)
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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 Access
Documento docente sobre algunas aplicaciones de las derivadas parciales al procesamiento digital de imágenes.

(2014-10-03)
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Open Access
• #### Periodic orbits of integrable birational maps on the plane: blending dynamics and algebraic geometry, the Lyness' case ﻿

(2012-10)
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Contingut del Pòster presentat al congrés New Trends in Dynamical Systems
• #### Global periodicity conditions for maps and recurrences via Normal Forms ﻿

(2012-05-04)
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Open Access
We 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)
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Open Access
We 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)
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Open Access
This 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)
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Open Access
This 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)
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Open Access
Consider 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)
External research report
Open Access
We 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 ...