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
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