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Dynamics of Kahan-Hirota-Kimura maps with rational invariant fibrations
Víctor 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. García, Jaume Giné, Víctor 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…
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…
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…
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…
On the accumulation points of non-periodic orbits of a difference equation of fourth order
Antonio Linero Bas, Víctor Mañosa, Daniel Nieves Roldán
In this paper, we are interested in analyzing the dynamics of the fourth-order difference equation , with arbitrary real initial co…