26 citations · 215 across the 59 of their papers we have counts for
4 papers · 2 filters
The period function and the harmonic balance method
Johanna D. García-Saldaña, Armengol Gasull
In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, l…
Basin of attraction of triangular maps with applications
Anna Cima, Armengol Gasull, Víctor Mañosa
We consider some planar triangular maps. These maps preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber and we study the limit dynami…
Bifurcation diagram and stability for a one-parameter family of planar vector fields
Johanna D. García-Saldaña, Armengol Gasull, Hector Giacomini
We consider the 1-parameter family of planar quintic systems, , , introduced by A. Bacciotti in 1985. It is known that it has at most one limit cy…
A proof of Perko's conjectures for the Bogdanov-Takens system
Armengol Gasull, Hector Giacomini, Set Perez-Gonzalez +1
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove…