In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov stable homoclinic class, then it does not contain any singularity and it is hyperbolic
We prove that any vector field on a three-dimensional compact manifold can be approximated in the C1...
International audienceWe prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not...
ABSTRACT. We shall prove that C1-robustly expansive codimension-one homoclinic classes are hyperboli...
We prove for a generic star vector field X that if, for every chain recurrent class C of X, all sing...
We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metri...
The works of Liao, Marie, Franks, Aoki, and Hayashi characterized a lack of hyperbolicity for diffeo...
We consider the vector fields C1 on a compact Riemannian manifold, boundaryless of finite dimension n,...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
AbstractIn this paper, the C1 interior of the set of vector fields whose integrated flows are expans...
Texto completo: acesso restrito. p. 863-897We present an extension of the notion of infinitesimal Ly...
In this paper, the Cl interior of the set of vector fields whose integrated flows are expansive is c...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
. In this paper we study topological properties of continuoustime linear hyperbolic cocycles. Roughl...
AbstractLet X be a C1 vector field without singularities. In this paper, we show that X is in the C1...
We prove that any vector field on a three-dimensional compact manifold can be approximated in the C1...
International audienceWe prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not...
ABSTRACT. We shall prove that C1-robustly expansive codimension-one homoclinic classes are hyperboli...
We prove for a generic star vector field X that if, for every chain recurrent class C of X, all sing...
We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metri...
The works of Liao, Marie, Franks, Aoki, and Hayashi characterized a lack of hyperbolicity for diffeo...
We consider the vector fields C1 on a compact Riemannian manifold, boundaryless of finite dimension n,...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
AbstractIn this paper, the C1 interior of the set of vector fields whose integrated flows are expans...
Texto completo: acesso restrito. p. 863-897We present an extension of the notion of infinitesimal Ly...
In this paper, the Cl interior of the set of vector fields whose integrated flows are expansive is c...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
. In this paper we study topological properties of continuoustime linear hyperbolic cocycles. Roughl...
AbstractLet X be a C1 vector field without singularities. In this paper, we show that X is in the C1...
We prove that any vector field on a three-dimensional compact manifold can be approximated in the C1...
International audienceWe prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not...
ABSTRACT. We shall prove that C1-robustly expansive codimension-one homoclinic classes are hyperboli...
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