Hyperopic topologies on l∞Myopic economic agents are well studied in economics. They are impatient. A myopic topology is a topology such that every continuous preference relation is myopic. If the space is l∞,...
Año de publicación: 2018
Hopf bifurcation at infinity and dissipative vector fields of the planeThis work deals with one-parameter families of differentiable planar vector fields for which the infinity reverses its stability as the parameter goes through zero. These vector fields are defined on...
Año de publicación: 2017
Compact invariant sets for global holomorphic foliationsWe study compact invariant sets for holomorphic foliations on Stein manifold. As application, we show some dynamical properties concerning minimal sets (with singularities) of foliations and real analytic Levi-flat hypersurfaces...
Año de publicación: 2017
Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliationsWe study holomorphic foliations tangent to singular real-analytic Levi-flat hypersurfaces in compact complex manifolds of complex dimension two. We give some hypotheses to guarantee the existence of dicritical singularities of...
Año de publicación: 2017
Hamiltonian stability in open surfaces with simple singularitiesWe extend to open surfaces with simple singularities the theorem proposed by Xavier Jarque and Zbigniew Nitecki for Hamiltonian flows in the plane that are structurally stable among Hamiltonian flows....
Año de publicación: 2017
Foliations and webs inducing Galois coveringsWe introduce the notion of Galois holomorphic foliation on the complex projective space as that of foliations whose Gauss map is a Galois covering when restricted to an appropriate Zariski...
Año de publicación: 2016
On the classification of elliptic foliations induced by real quadratic fields with centerRelated to the study of Hilbert's infinitesimal problem, is the problem of determining the existence and estimating the number of limit cycles of the linear perturbation of Hamiltonian fields. A...
Año de publicación: 2016
Analytic classification of a class of cuspidal foliations in (C3,0)In this article we study the analytic classification of certain types of quasi-homogeneous cuspidal holomorphic foliations in (C3,0) via the essential holonomy defined over one of the components of the...
Año de publicación: 2016
Bilipschitz invariants for germs of holomorphic foliationsIn this paper, we study bilipschitz equivalences of germs of holomorphic foliations in (C2,0). We prove that the algebraic multiplicity of a singularity is invariant by such equivalences. Moreover, for...
Año de publicación: 2016
Center conditions for a class of planar rigid polynomial differential systemsIn general the center--focus problem cannot be solved, but in the case that the singularity has purely imaginary eigenvalues there are algorithms to solving it. The present paper implements one...
Año de publicación: 2015