4 citations · 5 across the 8 of their papers we have counts for
8 papers
On Funk's parabolas
Newton Solórzano, Junior Moyses, Víctor León
We study parabolas in the two dimensional unit disk equipped with a Funk metric. Four types of parabolas are obtained, due to the non-reversibility of the Funk metric, each one wit…
On real center singularities of complex vector fields on surfaces
V. León, B. Scárdua
One of the various versions of the classical Lyapunov-Poincaré center theorem states that a nondegenerate real analytic center type planar vector field singularity admits an analyt…
On cylindrical symmetric projectively flat Finsler metrics
Newton Solórzano, Víctor León
We study the cylindrical symmetric Finsler metrics. We obtain the system of differential equations of such metrics which are projectively flat. We give a family of solutions of thi…
On integral conditions for the existence of first integrals analytic saddle singularities
V. León, B. Scárdua
We study one-parameter analytic integrable deformations of the germ of -type complex saddle singularity given by at the origin $0 \in \mathbb C^2\times \mat…
On a theorem of Lyapunov-Poincaré in higher dimension
V. León, B. Scárdua
The classical Lyapunov-Poincaré center theorem assures the existence of a first integral for an analytic one-form near a center singularity in dimension two, provided that the firs…
On singular Frobenius for second order linear partial differential equations
Victor León, Bruno Scárdua
The main subject of this paper is the study of analytic second order linear partial differential equations. We aim to solve the classical equations and some more, in the real or co…