2026-04-17T02:57:47Zhttps://recercat.cat/oai/request

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

00925njm 22002777a 4500 dc Delshams Valdés, Amadeu author Gonçalves Schaefer, Rodrigo author 2018-12-01 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) Àrees temàtiques de la UPC::Matemàtiques i estadística Hamiltonian systems Arnold diffusion normally hyperbolic invariant manifolds scattering maps Sistemes hamiltonians Arnold diffusion for a complete family of perturbations with two independent harmonics