Session II.1 - Computational Dynamics
Thursday, June 15, 16:30 ~ 17:00
Computation of invariant tori in close-to-degenerate Hamiltonian systems
Alex Haro
Universitat de Barcelona & CRM, Spain - This email address is being protected from spambots. You need JavaScript enabled to view it.
Motivated by Celestial Mechanics problems, in this talk we present methods for computing invariant tori in close-to-degenerate Hamiltonian systems. In particular, we present quasi-Newton methods for the invariance equation of the torus parameterization, leading to proofs of new KAM results, numerical algorithms, and computer-assisted proofs.
Joint work with Jordi-Lluís Figueras (Uppsala University, Sweden).