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Jun 23, 2011 at 6:33 vote accept agt
Jun 23, 2011 at 6:32 comment added agt Dear jvkersch, thank you for the reference. Even if in this book there is no mention of degenerate (or super, non commutative) integrability, the detailed analysis of the topology of the momentum map for many classical ham. systems ( Euler top, kepler problem, harmonic oscillator,...; that, by the way, are superintegrable) should permit to recognize the existence of generalized action-angle coordinates at least on a open subset of the phase space.
Jun 22, 2011 at 9:53 answer added Daniele Sepe timeline score: 2
Jun 21, 2011 at 22:29 comment added jvkersch How about the book "Global Aspects of Classic Integrable Systems" by Cushman and Bates? it is concerned with monodromy and the global existence of action-angle coordinates, so I'm pretty sure it does a good job of sketching the local picture, although I don't have a copy with me right now.
Jun 21, 2011 at 18:47 history edited agt CC BY-SA 3.0
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Jun 21, 2011 at 18:29 history asked agt CC BY-SA 3.0