Journal of Symplectic Geometry
Volume 3 (2005)
Regular deformations of completely integrable systems
Pages: 1 – 16
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.