Abstract In this paper we study topological and analytical conditions on the orbits of a germ of diffeomorphism in the complex plane in order to obtain periodicity. In particular, we give a simple proof of a finiteness criteria for groups of analytic diffeomorphisms, stated in Brochero Martínez 2003. As an application, we derive some consequences about the integrability of complex vector fields in dimension three in a neighborhood of a singular point
The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or...
We present a systematic methodology to determine and locate analytically isolated periodic points of...
This paper deals with the question of analytic continuation of holonomy germs of holomorphic foliati...
AbstractLet Z be a germ of a singular real analytic vector field at O∈R2. We give conditions on the ...
In this note we announce some results in the study of groups of formal or germs of analytic diffeomo...
We study the classification of germs of differential equations in the complex plane giving a complet...
We establish some algebraic properties of the group Diff(C^n ,0) of germs of analytic diffeomorphism...
We consider dimension 3 vector fields (resp. diffeomorphisms), in a neighborhood of a hyperbolic sad...
PreprintWe prove the existence of 3-periodic orbits in a dynamical system associated to a Landen tra...
In this paper we study the set of periods of holomorphic maps on compact manifolds, using the period...
We study the problem of the existence and of the geometric structure of the set of periodic orbits o...
This thesis is devoted to the study of foliations that come from dynamical systems. In the first ...
AbstractIn this paper we describe the moduli space of germs of generic analytic families of complex ...
A generalized Nash Blow-up M' with respect to coherent subsheaves of locally free sheaves is defined...
Germs of holomorphic vector fields at the origin $0\in C^2$ and polynomial vector fields on $C^2$ ar...
The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or...
We present a systematic methodology to determine and locate analytically isolated periodic points of...
This paper deals with the question of analytic continuation of holonomy germs of holomorphic foliati...
AbstractLet Z be a germ of a singular real analytic vector field at O∈R2. We give conditions on the ...
In this note we announce some results in the study of groups of formal or germs of analytic diffeomo...
We study the classification of germs of differential equations in the complex plane giving a complet...
We establish some algebraic properties of the group Diff(C^n ,0) of germs of analytic diffeomorphism...
We consider dimension 3 vector fields (resp. diffeomorphisms), in a neighborhood of a hyperbolic sad...
PreprintWe prove the existence of 3-periodic orbits in a dynamical system associated to a Landen tra...
In this paper we study the set of periods of holomorphic maps on compact manifolds, using the period...
We study the problem of the existence and of the geometric structure of the set of periodic orbits o...
This thesis is devoted to the study of foliations that come from dynamical systems. In the first ...
AbstractIn this paper we describe the moduli space of germs of generic analytic families of complex ...
A generalized Nash Blow-up M' with respect to coherent subsheaves of locally free sheaves is defined...
Germs of holomorphic vector fields at the origin $0\in C^2$ and polynomial vector fields on $C^2$ ar...
The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or...
We present a systematic methodology to determine and locate analytically isolated periodic points of...
This paper deals with the question of analytic continuation of holonomy germs of holomorphic foliati...
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