26 citations · 215 across the 59 of their papers we have counts for
50 papers · 1 filter
Limit cycles and invariant algebraic curves
Armengol Gasull, Paulo Santana
We give lower bounds in terms of~ for the number of limit cycles of polynomial vector fields of degree~ having any prescribed invariant algebraic curve. By applying them wh…
Weak-Coppel problem for a class of Riccati differential equations
Armengol Gasull, Douglas D. Novaes, Joan Torregrosa
We study the -periodic solutions of the real Riccati differential equation where and is a -periodic function. Our goal is to define a real-val…
Entropy and ω-limit sets on invariant graphs for a class of planar piecewise linear maps
Anna Cima, Armengol Gasull, Víctor Mañosa +1
We consider the family of piecewise linear maps where . In previous work, we identified that certain maps of…
A new family of integrable differential systems in arbitrary dimension
J. D. García-Saldaña, A. Gasull, S. Rebollo-Perdomo
We present a wide class of differential systems in any dimension that are either integrable or complete integrable. In particular, our result enlarges a known family of planar inte…
Simultaneous bifurcation of limit cycles for Piecewise Holomorphic systems
Armengol Gasull, Gabriel Rondón, Paulo R. da Silva
Let be a holomorphic differential equation with center at . In this paper we are concerned about studying the piecewise perturbation systems $\dot{z}=f(z)+εR^\pm(…
Monotonous period function for equivariant differential equations with homogeneous nonlinearities
Armengol Gasull, David Rojas
We prove that the period function of the center at the origin of the -equivariant differential equation is monotonous d…