Action-angle variables and a KAM theorem for b-Poisson manifolds

Abstract

In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [LMV11] for general Poisson manifolds in this setting. As an application, we prove a KAM-type theorem for b-Poisson manifolds.

24 pages, 3 figures, the KAM theorem has been improved, minor corrections

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