Total destruction of Lagrangian tori

Abstract

For an integrable Tonelli Hamiltonian with $d\ (d\geq 2)$ degrees of freedom, we show that all of the Lagrangian tori can be destroyed by analytic perturbations which are arbitrarily small in the $C^{d-δ}$ topology.

arXiv admin note: substantial text overlap with arXiv:1208.2840