9 papers
Entropy and Ï-limit sets on invariant graphs for a class of planar piecewise linear maps
Anna Cima, Armengol Gasull, VÃctor Mañosa +1
We consider the family of piecewise linear maps where . In previous work, we identified that certain maps of…
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-v…
On the cyclicity of hyperbolic polycycles
Claudio Buzzi, Armengol Gasull, Paulo Santana
Let be a planar smooth vector field with a polycycle with sides and all its corners, that are at most singularities, being hyperbolic saddles. In this paper we s…
A new family of integrable differential systems in arbitrary dimension
J. D. GarcÃa-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…
Invariant graphs and dynamics of a family of continuous piecewise linear planar maps
Anna Cima, Armengol Gasull, VÃctor Mañosa +1
We consider the family of piecewise linear maps where . This family belongs to a wider one that has d…