Add to ORKGWe prove that any vector field on a three-dimensional compact manifold can be approximated in the C1-topology by one which is singular hyperbolic or by one which exhibits a homoclinic tangency associated to a regular hyperbolic periodic orbit. This answers a conjecture by Palis. During the proof we obtain several other results with independent interest: a compactification of the rescaled sectional Poincar\'e flow and a generalization of Ma\~n\'e-Pujals-Sambarino theorem for three-dimensional C2 vector fields with singularities
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated b...
In the paper, we show that for a generic $C^1$ vector field $X$ on a closed three dimensional manifo...
En este trabajo de Maestría vamos a reconstruir el siguiente resultado de Bautista y Morales: Cada s...
AbstractWe prove that a volume-preserving three-dimensional flow can be C1-approximated by a volume-...
We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhi...
AbstractWe prove that any diffeomorphism of a compact manifold can be C1-approximated by a diffeomor...
Let M be a d-dimensional compact manifold without boundary. Denote by Diffr(M) the set of diffeomorp...
Abstract. Let X be a C1 vector field on a closed C ∞ manifold M. We introduce the concept of C1 stab...
We consider one-parameter families {φμ;μ∈R} of diffeomorphisms on surfaces which display a homoclini...
We consider one-parameter families {φμ;μ∈R} of diffeomorphisms on surfaces which display a homoclini...
We consider one-parameter families {φμ;μ∈R} of diffeomorphisms on surfaces which display a homoclini...
There are new results in section 7 compared with the previous versionInternational audienceA vector ...
There are new results in section 7 compared with the previous versionInternational audienceA vector ...
There are new results in section 7 compared with the previous versionInternational audienceA vector ...
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated b...
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated b...
In the paper, we show that for a generic $C^1$ vector field $X$ on a closed three dimensional manifo...
En este trabajo de Maestría vamos a reconstruir el siguiente resultado de Bautista y Morales: Cada s...
AbstractWe prove that a volume-preserving three-dimensional flow can be C1-approximated by a volume-...
We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhi...
AbstractWe prove that any diffeomorphism of a compact manifold can be C1-approximated by a diffeomor...
Let M be a d-dimensional compact manifold without boundary. Denote by Diffr(M) the set of diffeomorp...
Abstract. Let X be a C1 vector field on a closed C ∞ manifold M. We introduce the concept of C1 stab...
We consider one-parameter families {φμ;μ∈R} of diffeomorphisms on surfaces which display a homoclini...
We consider one-parameter families {φμ;μ∈R} of diffeomorphisms on surfaces which display a homoclini...
We consider one-parameter families {φμ;μ∈R} of diffeomorphisms on surfaces which display a homoclini...
There are new results in section 7 compared with the previous versionInternational audienceA vector ...
There are new results in section 7 compared with the previous versionInternational audienceA vector ...
There are new results in section 7 compared with the previous versionInternational audienceA vector ...
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated b...
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated b...
In the paper, we show that for a generic $C^1$ vector field $X$ on a closed three dimensional manifo...
En este trabajo de Maestría vamos a reconstruir el siguiente resultado de Bautista y Morales: Cada s...