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math.SG2005
Regular deformations of completely integrable systems
Nicolas Roy
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 sho…
math.SG2004
Decomposition of symplectic vector fields with respect to a fibration in lagrangian tori
Nicolas Roy
Given a fibration of a symplectic manifold by lagrangian tori, we show that each symplectic vector field splits into two parts : the first is Hamiltonian and the second is symplect…