most citedCharacterization of centers by its complex separatrices

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

collaborators

5 papers

quant-ph2026

-entropic statistical paradigm for relativistic corrections to the Heisenberg principle

Giuseppe Gaetano Luciano, Jaume Gin\' e, Daniel Chemisana

The Heisenberg position-momentum uncertainty relation is a cornerstone of quantum mechanics. However, its standard formulation is not fully consistent with special relativity. Whil…

nlin.SI2026

Metrisable oscillators and (super)integrable two-dimensional metrics

Jaume Giné, Dmitry Sinelshchikov

We consider a family of nonlinear oscillators, which is the autonomous case of the two-dimensional projective connection. We construct several classes of these oscillators that are…

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…

math.DS20241 cited

Principal Bautin ideal of monodromic singularities with inverse integrating factors

Isaac A. García, Jaume Giné

We analyze the structure of the Poincaré map associated to a monodromic singularity of an analytic family of planar vector fields. We work under two assumptions. The first one…

math.DS20241 cited

Characterization of centers by its complex separatrices

Isaac A. García, Jaume Giné

In this work we deal with analytic families of real planar vector fields having a monodromic singularity at the origin for any and depe…