17 citations · 24 across the 3 of their papers we have counts for
4 papers
Generic Hamiltonian Dynamics
Mario Bessa, Celia Ferreira, Jorge Rocha +1
In this paper we contribute to the generic theory of Hamiltonians by proving that there is a C2-residual R in the set of C2 Hamiltonians on a closed symplectic manifold M, such tha…
Shadowing, expansiveness and stability of divergence-free vector fields
Célia Ferreira
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 the…
Stability properties of divergence-free vector fields
Célia Ferreira
A divergence-free vector field satisfies the star property if any divergence-free vector field in some C1-neighborhood has all singularities and all periodic orbits hyperbolic. In…
On the Stability of the Set of Hyperbolic Closed Orbits of a Hamiltonian
Mario Bessa, Celia Ferreira, Jorge Rocha
A Hamiltonian level, say a pair of a Hamiltonian and an energy , is said to be Anosov if there exists a connected component of $H^…