CAPA: Global instability for `complete' families of perturbations with two or three independent harmonics

  • Date: –16:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Rodrigo Schaefer
  • Organiser: Matematiska institutionen
  • Contact person: Rodrigo Schaefer
  • Seminarium

We prove that for any non-trivial perturbation depending
on any two independent harmonics of a pendulum and a rotor
there is global instability, also called Arnold diffusion.
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 piecewi