Action-angle variables and a KAM theorem for b-Poisson manifolds
Symplectic Geometry
2018-03-26 v2 Dynamical Systems
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.
Cite
@article{arxiv.1502.03489,
title = {Action-angle variables and a KAM theorem for b-Poisson manifolds},
author = {Anna Kiesenhofer and Eva Miranda and Geoffrey Scott},
journal= {arXiv preprint arXiv:1502.03489},
year = {2018}
}
Comments
24 pages, 3 figures, the KAM theorem has been improved, minor corrections