Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
This paper deals with the existence of periodic solutions of Hamiltonian systems with N degrees of freedom, on a given energy surface. The surface is supposed to be symmetric and starshaped with respect to the origin. We show that any such surface carries at least one symmetric periodic solution and we give a sufficient condition on the surface for the existence of N such solutions.
Hamiltonian systems with N degrees of freedom
scientific article; zbMATH DE number 3932458
scientific article