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Study of the Rolling Manifolds Model and of its Controllability
We study the controllability of the control system describing the rolling motion, without slipping nor spinning, of two n-dimensional Riemannian manifolds, one against... -
Géométrie classique de certains feuilletages de degré deux
International audience -
$p$-chaoticity and regular action of abelian $C^{1}$-diffeomorphisms groups o...
In this paper, we introduce the notion of regular action of any abelian subgroup G of $Diff^{1}(C^n) on C^n (i.e. the closure of every orbit of G in some open set is a... -
Londres 2012 : les dessous d'une Tour Eiffel sous stéroïdes
International audience -
Hypercyclic abelian semigroups of affine maps on C^n
We give a characterization of hypercyclic abelian semigroup G of affine maps on C^n. If G is finitely generated, this characterization is explicit. We prove in... -
Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps...
In this paper, we prove that the minimal number of affine maps on C^n, required to form a hypercyclic abelian semigroup on C^n is n+1. We also prove that the action of... -
J-class of finitely generated abelian semigroups of affine mpas on C^n and Hy...
We give a characterization of hypercyclic using (locally hypercyclic) of semigroup G of affine maps of C^n. We prove the existence of a G-invariant open subset of C^n... -
On the dynamic of holomorphic diffeomorphisms groups fixing a commune point, ...
In this paper, we study the action on C^n of any group G of holomorphic diffeomorphisms (automorphisms) of C^n fixing 0. Suppose that there is x in C^n, having an...
