14 citations · 58 across the 28 of their papers we have counts for
4 papers · 2 filters
The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
Simon Allais, Marie-Claude Arnaud
We study in detail the dynamics of conformal Hamiltonian flows that are defined on a conformal symplectic manifold (this notion was popularized by Vaisman in 1976). We show that th…
Weak K.A.M. solutions and minimizing orbits of twist maps
Marie-Claude Arnaud, Maxime Zavidovique
For exact symplectic twist maps of the annulus, we etablish a choice of weak K.A.M. solutions that depend in a Lipschitz-continuous way on the cohomology class $c…
Vanishing asymptotic Maslov index for conformally symplectic flows
Marie-Claude Arnaud, Anna Florio, Valentine Roos
Motivated by Mather theory of minimizing measures for symplectic twist dynamics, we study conformally symplectic flows on a cotangent bundle. These dynamics are the most general dy…
On the fragility of periodic tori for families of symplectic twist maps
Marie-Claude Arnaud, Jessica Elisa Massetti, Alfonso Sorrentino
In this article we study the fragility of Lagrangian periodic tori for symplectic twist maps of the -dimensional annulus and prove a rigidity result for completely integrable o…