26 citations · 215 across the 59 of their papers we have counts for
6 papers · 2 filters
Some open problems in low dimensional dynamical systems
Armengol Gasull
The aim of this paper is to share with the mathematical community a list of 33 problems that I have found along the years during my research. I believe that it is worth to think ab…
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…
Parrondo's paradox for homeomorphisms
Armengol Gasull, Luis Hernández-Corbato, Francisco R. Ruiz del Portal
We construct two planar homeomorphisms and for which the origin is a globally asymptotically stable fixed point whereas for and the origin is a glob…
Pointwise periodic maps with quantized first integrals
Anna Cima, Armengol Gasull, Víctor Mañosa +1
We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first inte…
Limit cycles for some families of smooth and non-smooth planar systems
Claudio A. Buzzi, Yagor Romano Carvalho, Armengol Gasull
In this paper, we apply the averaging method via Brouwer degree in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to…
The local period function for Hamiltonian systems with applications
Claudio A. Buzzi, Yagor Romano Carvalho, Armengol Gasull
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, in terms of the energy, of the period function for a non-degenerated center of an…