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math.DS2020
Meromorphic first integrals of analytic diffeomorphisms
Antoni Ferragut, Armengol Gasull, Xiang Zhang
We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map can have in a neighb…
math.DS2019
Quadratic Planar Differential Systems with Algebraic Limit Cycles via Quadratic Plane Cremona Maps
Maria Alberich-Carramiñana, Antoni Ferragut, Jaume Llibre
In this paper we show how we can transform quadratic systems into new quadratic systems after some kind of birational transformations, the quadratic plane Cremona maps. We afterwar…