Zineb Hassainia, New York University in Abu Dhabi, United Arab Emirates, and Courant Institute of Mathematical Sciences, New York University, New York. Taoufik Hmidi, New York University in Abu Dhabi, United Arab Emirates, and Courant Institute of Mathematical Sciences, New York University, New York. Nader Masmoudi, New York University in Abu Dhabi, United Emirates, and Courant Institute of Mathematical Sciences, New York University, New York.
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Description
1. Introduction 2. Hamiltonian reformulation 3. Linearization and frequencies structure 4. Functional tools 5. Hamiltonian toolbox 6. Berti-Bolle approach for the approximate inverse 7. Toroidal pseudo-differential operators 8. New approach related to Egorov theorem 9. Reducibility of the linearized operator 10. Proof of the main result A.