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math.DS2026
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…
math.DS2026
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…