Secants of trajectories in dimension threeIn this paper we give a description of the sets of accumulation of secants for orbits of real analytic vector fields in dimension three with the origin as only ω-limit...
Año de publicación: 2013
Degree of the first integral of a pencil in P2 defined by Lins NetoLet P4 be the linear family of foliations of degree 4 in P2, introduced by A. Lins Neto, whose set of parameter with first integral Ip(P4) is dense and countable. In...
Año de publicación: 2013
Planar real polynomial differential systems of degree n>3 having a weak focus of high orderWe construct planar polynomial differential systems of even (respectively odd) degree n>3, of linear form plus a nonlinear homogeneous part of degree n having a weak focus of order n2-1,...
Año de publicación: 2012
Hubbard treesWe provide a full classification of postcritically finite polynomials as dynamical systems by means of Hubbard trees. The information encoded in these objects is solid enough to allow us recover...
Año de publicación: 2010
On differentiable area-preserving maps of the planeF: ℝ2 → ℝ2 is an almost-area-preserving map if: (a) F is a topological embedding, not necessarily surjective; and (b) there exists a constant s > 0 such that for...
Año de publicación: 2010
The C1 invariance of the algebraic multiplicity of a holomorphic vector fieldWe prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by C1 equivalences.
Año de publicación: 2010
On generalized surfaces in (C3,0)In this paper we study germs of codimension one holomorphic, non-dicritical, singular foliations in having no saddle-nodes in their reduction of singularities. These are called generalized surfaces. The main result says that...
Año de publicación: 2009
Critical portraits for postcritically finite polynomials
We extend the work of Bielefeld, Fisher and Hubbard on critical por- traits to arbitrary postcritically finite polynomials. This gives the classification of such polynomials as dynamical systems in terms of their...
Año de publicación: 2009
We extend the work of Bielefeld, Fisher and Hubbard on critical por- traits to arbitrary postcritically finite polynomials. This gives the classification of such polynomials as dynamical systems in terms of their...
Año de publicación: 2009
Erratum to: `An eigenvalue condition for the injectivity and asymptotic stability at infinity'We draw attention to some mistakes which appear in the above– mentioned paper (see [1, pp. 241–242]), where we assume that the eigenvalue condition of the map Y also happen for the...
Año de publicación: 2009
Center type performance of differentiable vector fields in the planeSuppose that X is a planar vector field whose linearization outside some compact set is nonsingular and has pure imaginary spectrum. Then by adding to X a constant vector, one...
Año de publicación: 2009