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math.SG2015★ 40 cited
Examples of integrable and non-integrable systems on singular symplectic manifolds
Amadeu Delshams, Anna Kiesenhofer, Eva Miranda
We present a collection of examples borrowed from celestial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regul…
math.SG2015★ 24 cited
Action-angle variables and a KAM theorem for b-Poisson manifolds
Anna Kiesenhofer, Eva Miranda, Geoffrey Scott
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 manifol…