26 citations · 200 across the 32 of their papers we have counts for
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math.DS2012★ 5 cited
Global periodicity conditions for maps and recurrences via Normal Forms
Anna Cima, Armengol Gasull, Víctor Mañosa
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 Norma…
math.DS2012★ 6 cited
On periodic solutions of 2-periodic Lyness difference equations
Guy Bastien, Victor Mañosa, Marc Rogalski
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…