Hyperbolicity in the volume-preserving scenario Page 1 Ergod. Th. & Dynam. Sys. (2013), 33,
1644–1666 c Cambridge University Press, 2012 doi:10.1017/etds.2012.111 Hyperbolicity in …

A divergence-free vector field satisfies the star property if any divergence-free vector field in
some C 1-neighbourhood has all singularities and all closed orbits hyperbolic. In this article …

Hyperbolicity and stability for Hamiltonian flows Page 1 J. Differential Equations 254 (2013)
309–322 Contents lists available at SciVerse ScienceDirect Journal of Differential Equations …

We prove that a Hamiltonian system H∈ C2 (M, R) is globally hyperbolic if any of the
following statements hold: H is robustly topologically stable; H is stably shadowable; H is …

In this paper we contribute to the generic theory of Hamiltonians by proving that there is a C^
2 C 2-residual RR in the set of C^ 2 C 2 Hamiltonians on a closed symplectic manifold MM …

Let X be a divergence-free vector field defined on a closed, connected Riemannian
manifold. In this paper, we show the equivalence between the following conditions: ${\bullet} …

We obtain a C 1-generic subset of the incompressible flows in a closed three-dimensional
manifold where Pesin's entropy formula holds thus establishing the continuous-time version …

Let X be a divergence-free vector field defined on a closed, connected Riemannian
manifold. In this paper, we show the equivalence between the following conditions: 1. X is in …

We construct a Hamiltonian suspension for a given symplectomorphism which is the
perturbation of a Poincaré map. This is especially useful for the conversion of perturbative …

Dynamical systems is the study of the long-term behaviour of evolving systems. The
foundations were set by the innovative work of Henri Poincaré (1854-1912), Les Méthodes …