4 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…
Dynamics of Kahan-Hirota-Kimura maps with rational invariant fibrations
VÃctor Mañosa, Chara Pantazi
We present a simple method to study the dynamics of planar Kahan-Hirota-Kimura (KHK) maps preserving rational fibrations. Using this approach, we show that integrable KHK maps may…
Monodromic singularities of Brunella-Miari vector fields with two edges in the Newton diagram
Isaac A. GarcÃa, Jaume Giné, VÃctor Mañosa
This work focuses on the study of monodromic singularities in planar analytic families of vector fields whose Newton diagram consists of exactly two edges. We begin by analyzing th…
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…