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arXiv · 1502.03489

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

Anna Kiesenhofer·Eva Miranda·Geoffrey Scott
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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.

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BibTeXRIS

Anna Kiesenhofer, Eva Miranda, Geoffrey Scott. 2015-02-11. Action-angle variables and a KAM theorem for b-Poisson manifolds. https://doi.org/10.1016/j.matpur.2015.09.006

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