20 citations · 53 across the 12 of their papers we have counts for
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math.DS2021★ 1 cited
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…
math.DS2021★ 6 cited
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…