Regular deformations of completely integrable systems

Details Regular deformations of completely integrable systems Regular deformations of completely integrable systems

2005-04-19

arxiv.org/abs/math/0504379v2

J. Symplectic Geom., vol. 3, no 1, p. 1-16, 2006

Mathematics

Symplectic Geometry

minor typo errors fixed, bibliography updated

Scientific paper

We study several aspects of the regular deformations of completely integrable
systems. Namely, we prove the existence of a Hamiltonian normal form for these
deformations and we show the necessary and sufficient conditions a perturbation
has to satisfy in order for the perturbed Hamiltonian to be a first order
deformation.

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