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

Kiesenhofer, Anna; Miranda Galcerán, Eva; Scott, Geoffrey

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Kiesenhofer, Anna

Miranda Galcerán, Eva

Scott, Geoffrey

Document typeExternal research report

Defense date2015-02

Rights accessOpen Access

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.

CitationKiesenhofer, A.; Miranda, E.; Scott, G. "Action-angle variables and a KAM theorem for b-Poisson manifolds". 2015.

URIhttp://hdl.handle.net/2117/26390

URL other repositoryhttp://arxiv.org/pdf/1502.03489v1.pdf

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EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions - Reports de recerca [102]
Departament de Matemàtiques - Reports de recerca [376]

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