CAPA-seminarium: Instabilities of quasi-periodic analytic tori
- Plats: Ångströmlaboratoriet 64119
- Föreläsare: Gerard Puiggalí (KTH)
- Kontaktperson: Alejandro Luque
Abstract: I will introduce recent results obtained in a joint work with Bassam Fayad concerning three types of stability properties for quasi-periodic invariant tori of Hamiltonian Systems:
The usual topological or Lyapunov stability, the stability in a measure theoretic or probabilistic sense (KAM stability), and the effective stability or quantitative stability in time. I will then focus on the proof for the existence of real analytic Hamiltonians with a Lyapunov unstable quasi-periodic torus. We will see that in the Diophantine case we can even obtain coexistence of diffusion and KAM stability (for more than two degrees of freedom).