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

  • Datum: –16.15
  • Plats: Ångströmlaboratoriet 64119
  • Föreläsare: Rodrigo Schaefer
  • Arrangör: Matematiska institutionen
  • Kontaktperson: 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