Regular deformations of completely integrable systems

Nicolas Roy

doi:jsg/1144947821

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Home > Journals > J. Symplectic Geom. > Volume 3 > Issue 1 > Article

March 2005 Regular deformations of completely integrable systems

Nicolas Roy

J. Symplectic Geom. 3(1): 1-16 (March 2005).

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Abstract

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.