$C^{\infty }$ symplectic invariants of parabolic orbits and flaps in integrable Hamiltonian systems

Elena Kudryavtseva, Nikolay Martynchuk

In the present paper, we consider a smooth $C^{\infty }$ symplectic classification of Lagrangian fibrations near cusp singularities, parabolic orbits and cuspidal tori. We show that f…