Quasiperiodic dynamics in Hamiltonian degree of freedom systems far from integrability

The subject of this paper is two-quasiperiodicity in a large class of one-and-a-half degree of freedom Hamiltonian systems. The main result is that such systems have invariant tori for any internal frequency that is of constant type and sufficiently large, relative to the forcing frequency. An explicit bound on the minimum value of the internal frequency is presented. The systems under consideration are not required to be small perturbations of integrable ones.