A semi-classical K.A.M. theorem

نویسنده

Nicolas Roy

چکیده

We consider a semi-classical completely integrable system defined by a ~-pseudodifferential operator Ĥ on the torus T. In order to study perturbed operators of the form Ĥ + ~K̂ , where K̂ is an arbitrary pseudodifferential operator and κ > 0, we prove the conjugacy to a suitable normal form. This is then used to construct a large number of quasimodes.

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