20 citations · 53 across the 12 of their papers we have counts for
13 papers
Analytic Smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
In this paper we prove the first result of Nekhoroshev stability for steep Hamiltonians in Hölder class. Our new approach combines the classical theory of normal forms in analytic…
Flexibility and analytic smoothing in averaging theory
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
Using a new strategy, we extend the classical Nekhoroshev's estimates to the case of Hölder regular steep near-integrable hamiltonian systems, the stability times being polynomiall…
Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds
Maciej J. Capinski, Jorge Gonzalez, Jean-Pierre Marco +1
Normally hyperbolic invariant manifolds theory provides an efficient tool for proving diffusion in dynamical systems. In this paper we develop a methodology for computer assisted p…
Attracted by an elliptic fixed point
Bassam Fayad, Jean-Pierre Marco, David Sauzin +1
We give examples of symplectic diffeomorphisms of R^6 for which the origin is a non-resonant elliptic fixed point which attracts an orbit.
Diffusion along chains of normally hyperbolic cylinders
Marian Gidea, Jean-Pierre Marco
We develop a geometric mechanism to prove the existence of orbits that drift along a prescribed sequence of cylinders, under some general conditions on the dynamics. This mechanism…
Arnold diffusion for cusp-generic nearly integrable convex systems on
Jean-Pierre Marco
We prove the existence of "Arnold diffusion orbits" in cusp-generic nearly integrable a priori stable systems on . The result relies on the cusp-generic existence of…