Dia: Dimecres, 18 d'octubre de 2017
Lloc: Aula T2 (2n pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Rodrigo G. Schaefer, Universitat Politécnica de Catalunya
Títol: Scattering maps and global instability in Hamiltonian systems
Resum: In this work we illustrate the Arnold diffusion in a concrete example: the a priori unstable Hamiltonian system of two and a half degrees of freedom:
H(p,q,𝑰,φ,s) =½p² + cos q -1 +½𝑰² + h(q,φ,s;ε),
proving that for any small periodic perturbation of the form
h(q,φ,s;ε) = εcos q (a₁cos(k φ + ls) + a₂cos (k'φ + l's ) )
(a₁a₂ ≠ 0, k l'≠ k' l, and ε ≠ 0 small enough) there is global instability for the action 𝑰. For this, we apply a geometrical mechanism based in the explicit computation of several scattering maps.
This is a joint work with Amadeu Delshams.
Last updated: Mon Oct 16 09:01:47 2017