13 citations · 27 across the 8 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.SG2021
symplectic invariants of parabolic orbits and flaps in integrable Hamiltonian systems
Elena Kudryavtseva, Nikolay Martynchuk
In the present paper, we consider a smooth symplectic classification of Lagrangian fibrations near cusp singularities, parabolic orbits and cuspidal tori. We show that f…
math.DS2021★ 13 cited
Existence of a smooth Hamiltonian circle action near parabolic orbits
Elena Kudryavtseva, Nikolay Martynchuk
We show that every parabolic orbit of a two-degree of freedom integrable system admits a -smooth Hamiltonian circle action, which is persistent under small integrable $C^…