19 citations · 19 across the 2 of their papers we have counts for
3 papers
math.DS2023
Arnold diffusion for an a priori unstable Hamiltonian system with 3 1/2 degrees of freedom
Amadeu Delshams, Albert Granados, Rodrigo G. Schaefer
In the present paper we apply the geometrical mechanism of diffusion in an \emph{a priori} unstable Hamiltonian system with 3 1/2 degrees of freedom. This mechanism consists of…
math.DS2017
Arnold diffusion for a complete family of perturbations with two independent harmonics
Amadeu Delshams, Rodrigo G. Schaefer
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 geometric…
math.DS2016★ 19 cited
Arnold diffusion for a complete family of perturbations
Amadeu Delshams, Rodrigo G. Schaefer
In this work we illustrate the Arnold diffusion in a concrete example---the \emph{a priori} unstable Hamiltonian system of degrees of freedom $H(p,q,I,φ,s) = p^{2}/2+\cos q…