activity
20082025
most citedInvariant graphs and dynamics of a family of continuous piecewise linear planar maps

2 citations · 4 across the 7 of their papers we have counts for

collaborators

9 papers

math.DS2025

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…

math.DS2024★ 2 cited

Invariant graphs and dynamics of a family of continuous piecewise linear planar maps

Anna Cima, Armengol Gasull, Víctor Mañosa +1

We consider the family of piecewise linear maps where . This family belongs to a wider one that has d…

math.DS2023

On some rational piecewise linear rotations

Anna Cima, Armengol Gasull, Víctor Mañosa +1

We study the dynamics of the piecewise planar rotations with $z\in\C$, if if and $λ=\mathrm{e}^{i…

math.DS2020★ 1 cited

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…

math.DS2016

A quasiperiodically forced skew-product on the cylinder without fixed-curves

Lluís Alsedà, Francesc Mañosas, Leopoldo Morales

In [FJJK] the Sharkovskiĭ Theorem was extended to periodic orbits of strips of quasiperiodic skew products in the cylinder. In this paper we deal with the following natural questio…

math.DS2016

On the number of limit cycles for perturbed pendulum equations

Armengol Gasull, Anna Geyer, Francesc Mañosas

We consider perturbed pendulum-like equations on the cylinder of the form where are trigonometric…