44 citations · 49 across the 9 of their papers we have counts for
Showing 2005Show all
2 papers · 1 filter
math-ph2005★ 3 cited
Intersections of Lagrangian submanifolds and the Mel'nikov 1-form
Nicolas Roy
We make explicit the geometric content of Mel'nikov's method for detecting heteroclinic points between transversally hyperbolic periodic orbits. After developing the general theory…
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…