17 citations · 56 across the 10 of their papers we have counts for
14 papers
The centralizer of -generic diffeomorphisms at hyperbolic basic sets is trivial
Jorge Rocha, Paulo Varandas
In the late nineties, Smale proposed a list of problems for the next century and, among these, it was conjectured that for every a -generic diffeomorphism has trivial…
On sensitivity to initial conditions and uniqueness of conjugacies for structurally stable diffeomorphisms
Jorge Rocha, Paulo Varandas
In this paper we study -structurally stable diffeomorphisms, that is, Axiom A diffeomorphisms with the strong transversality condition. In contrast to the case of dynami…
The centralizer of Komuro-expansive flows and expansive R^d-actions
Wescley Bonomo, Jorge Rocha, Paulo Varandas
In this paper we study the centralizer of flows and -actions on compact Riemannian manifolds. We prove that the centralizer of every Komuro-expansive flow w…
Uniform hyperbolicity revisited: Index of periodic points and equidimensional cycles
Mario Bessa, Jorge Rocha, Paulo Varandas
In this paper we revisit uniformly hyperbolic basic sets and the domination of Oseledets splittings at periodic points. We prove that periodic points with simple Lyapunov spectrum…
Shades of Hyperbolicity for Hamiltonians
M. Bessa, J. Rocha, M. J. Torres
We prove that a C2 Hamiltonian system H in M is globally hyperbolic if any of the following statements holds: H is robustly topologically stable; H is stably shadowable; H is stabl…
Hyperbolicity and Stability for Hamiltonian flows
M. Bessa, M. J. Torres, J. Rocha
We prove that a Hamiltonian star system, defined on a 2d-dimensional symplectic manifold M, is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamilton…