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arxiv: 1502.03489 · v2 · pith:7APSPLWFnew · submitted 2015-02-11 · 🧮 math.SG · math.DS

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

classification 🧮 math.SG math.DS
keywords manifoldstheoremaction-angleb-poissonproveapplicationarticleb-integrable
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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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