Separatrix Surfaces And Invariant Manifolds Of A Class Of Integrable Hamiltonian Systems And Their Perturbations

Presents a study of the foliations of the energy levels of a class of integrable Hamiltonian systems by the sets of constant energy and angular momentum. This work includes a classification of the topological bifurcations and a dynamical characterization of the critical leaves (separatrix surfaces) of the foliation.