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

作者：Kiesenhofer Anna; Miranda Eva^*; Scott Geoffrey

来源：Journal de Mathematiques Pures et Appliquees, 2016, 105(1): 66-85.

DOI：10.1016/j.matpur.2015.09.006

• Symplectic manifolds
• Poisson manifolds
• Integrable systems
• Action-angle variables
• KAM theorem

In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [14] for general Poisson manifolds in this setting. As an application, we prove a KAM-type theorem for b-Poisson manifolds.

• 出版日期2016-1