In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of C^{n+1} fixing the origin, namely, those germs whose differential at the origin has one eigenvalue 1 and the others having a one dimensional family of resonant relations. We define some invariants and give conditions which ensure the existence of attracting domains for such maps
Two types of quasi-periodic Hopf bifurcations are known, in which a Whitney smooth family of quasi-p...
This work deals with non-linear parameter dependent dynamical systems exhibiting resonance. This phe...
We sketch a general procedure to approach spectral properties of quasi-hyperbolic dynamical systems ...
In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of C^{...
Our first main result is a construction of a simple formal normal form for holomorphic diffeomorphis...
International audienceIn this paper, we study the existence of basins of attraction for germs of two...
The goal of this paper is to study the dynamics of holomorphic diffeomorphisms in such that the reso...
Let F be a germ of holomorphic diffeomorphism of C-2 fixing O and such that dF(O) has eigenvalues 1 ...
We prove the holomorphic linearizability of germs of biholomorphisms of (C n , 0), fixing the origin...
ABSTRACT. In this paper we consider diffeomorphisms of C? of the special form F(z, W) = (w,--z + ~G...
summary:We prove that the one-parameter group of holomorphic automorphisms induced on a strictly geo...
We construct an open class of 2-parameter families of 1-dimensional maps for which, in some measure ...
In this paper, we study normalizationand quasi-linearization of a family of germs of hyperbolic vect...
Two types of quasi-periodic Hopf bifurcations are known, in which a Whitney smooth family of quasi-p...
This work deals with non-linear parameter dependent dynamical systems exhibiting resonance. This phe...
We sketch a general procedure to approach spectral properties of quasi-hyperbolic dynamical systems ...
In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of C^{...
Our first main result is a construction of a simple formal normal form for holomorphic diffeomorphis...
International audienceIn this paper, we study the existence of basins of attraction for germs of two...
The goal of this paper is to study the dynamics of holomorphic diffeomorphisms in such that the reso...
Let F be a germ of holomorphic diffeomorphism of C-2 fixing O and such that dF(O) has eigenvalues 1 ...
We prove the holomorphic linearizability of germs of biholomorphisms of (C n , 0), fixing the origin...
ABSTRACT. In this paper we consider diffeomorphisms of C? of the special form F(z, W) = (w,--z + ~G...
summary:We prove that the one-parameter group of holomorphic automorphisms induced on a strictly geo...
We construct an open class of 2-parameter families of 1-dimensional maps for which, in some measure ...
In this paper, we study normalizationand quasi-linearization of a family of germs of hyperbolic vect...
Two types of quasi-periodic Hopf bifurcations are known, in which a Whitney smooth family of quasi-p...
This work deals with non-linear parameter dependent dynamical systems exhibiting resonance. This phe...
We sketch a general procedure to approach spectral properties of quasi-hyperbolic dynamical systems ...
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