- Series
- CDSNS Colloquium
- Time
- Monday, February 3, 2014 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles05
- Speaker
- Marta Canadell – Univ. of Barcelona
- Organizer
- Rafael de la Llave
We present a KAM-like theorem for the existence of
quasi-periodic tori with a prescribed Diophantine rotation for a discrete
family of dynamical system.
The theorem is stated in an a posteriori format, so it can be used to
validate numerical computations. The method of proof provides an efficient
algorithm for computing quasi-periodic tori.
We also present implementations of the algorithm, illustrating them
throught several examples and observing different mechanisms of breakdown
of qp invariant tori.
This is a joint work with Alex Haro.