2 citations · 4 across the 6 of their papers we have counts for
4 papers · 1 filter
On the Lagrange-Dirichlet converse in dimension three
Juan M. Burgos, Miguel Paternain
Consider a mechanical system with a real analytic potential. We prove that in dimension three, there is an open and dense subset of the set of non strict local minimums of the pote…
On the Lyapunov instability in Lagrangian dynamics
J. M. Burgos, M. Paternain
In the context of mechanical Lagrangian dynamics, we prove a new Lyapunov instability criterion for a non strict local minimum equilibrium point of a smooth potential where the suf…
Linearization of Cohomology-free Vector Fields
Livio Flaminio, Miguel Paternain
We study the cohomological equation for a smooth vector field on a compact manifold. We show that if the vector field is cohomology free, then it can be embedded continuously in a…
Monotone quotients of surface diffeomorphisms
André de Carvalho, Miguel Paternain
A homeomorphism of a compact metric space is {\em tight} provided every non-degenerate compact connected (not necessarily invariant) subset carries positive entropy. It is shown th…