2 citations · 3 across the 4 of their papers we have counts for
5 papers
Stratification of three-dimensional real flows II: A generalization of Poincaré's planar sectorial decomposition
Clementa Alonso-González, Fernando Sanz Sánchez
Let be an analytic vector field in with an isolated singularity at the origin and having only hyperbolic singular points after a reduction of singularities $π:M\…
Turrittin's Theorem revisited. The real case
Moulay Barkatou, Félix Álvaro Carnicero-Martín, Fernando Sanz Sánchez
We establish a real version of Turrittin's result on polynomial and formal normal forms of linear systems of ODEs with meromorphic coefficients. Both the normal forms or the transf…
Stratification of three-dimensional real flows I: Fitting Domains
Clementa Alonso-González, Fernando Sanz Sánchez
Let be an analytic vector field in with an isolated singularity at the origin and having only hyperbolic singular points after a reduction of singularities $π:M\…
Solutions of definable ODEs with regular separation and dichotomy interlacement versus Hardy
Olivier Le Gal, Mickaël Matusinski, Fernando Sanz Sánchez
We introduce a notion of regular separation for solutions of systems of ODEs , where F is definable in a polynomially bounded o-minimal structure and . Gi…
Uniqueness of Limit Cycles for Quadratic Vector Fields
José Luis Bravo, Manuel Fernández, Ignacio Ojeda +1
This article deals with the study of the number of limit cycles surrounding a critical point of a quadratic planar vector field, which, in normal form, can be written as $x'= a_1 x…