A. Gasull

activity

20052025

most citedStudying discrete dynamical systems trough differential equations

26 citations · 215 across the 59 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.DS2010★ 1 cited

Upper bounds for the number of zeroes for some Abelian integrals

Armengol Gasull, J. Tomás Lázaro, Joan Torregrosa

Consider the vector field $x^{'} = - y G (x, y), y^{'} = x G (x, y),$ where the set of critical points ${G (x, y) = 0}$ is formed by $K$ straight lines, not passing through the origin and paral…

math.DS2010★ 15 cited

Integrability and non-integrability of periodic non-autonomous Lyness recurrences

Anna Cima, Armengol Gasull, Víctor Mañosa

This paper studies non-autonomous Lyness type recurrences of the form $x_{n + 2} = (a_{n} + x_{n + 1}) / x_{n}$ , where ${a_{n}}$ is a $k$ -periodic sequence of positive numbers with primitive p…

math.DS2010★ 5 cited

Rational Periodic Sequences for the Lyness Recurrence

Armengol Gasull, Víctor Mañosa, Xavier Xarles

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 per…