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Regular deformations of completely integrable systems

Nicolas Roy
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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.

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Nicolas Roy. 2006-01-10. Regular deformations of completely integrable systems. https://arxiv.org/abs/math/0504379

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