Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds

Mathematics – Dynamical Systems

Scientific paper

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13 pages, to be published in J. Math. Phys. (2007)

Scientific paper

The obstruction to the existence of global action-angle coordinates of
Abelian and noncommutative (non-Abelian) completely integrable systems with
compact invariant submanifolds has been studied. We extend this analysis to the
case of noncompact invariant submanifolds.

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