2026-04-17T18:39:05Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1269102026-01-30T08:03:14Zcom_2072_1033col_2072_452950

urn:hdl:2117/126910 Arnold diffusion for a complete family of perturbations with two independent harmonics Delshams Valdés, Amadeu Gonçalves Schaefer, Rodrigo Àrees temàtiques de la UPC::Matemàtiques i estadística Hamiltonian systems Arnold diffusion normally hyperbolic invariant manifolds scattering maps Sistemes hamiltonians We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided Peer Reviewed Postprint (author's final draft) 2018-12-01 Article http://aimsciences.org//article/doi/10.3934/dcds.2018261 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain American Institute of Mathematical Sciences