On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow
The main aim of the paper is the study of perturbations of integrable diffeomorphisms. The author presents a rigorous proof of the fact, that in the real-analytic category, the study of perturbations of integrable diffeomorphisms is equivalent to the study of perturbations of integrable vector fields. This allows the author to reduce the study of higher iterations of such symplectomorphisms (i.e. symplectic structure preserving diffeomorphisms) to the asymptotic study of trajectories for almost integrable Hamiltonian vector fields.
perturbations of integrable diffeomorphisms
almost integrable Hamiltonian vector fields
scientific article; zbMATH DE number 1206177