Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics
Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics
Abstract We consider Hamiltonian functions of the classical type, namely, even and convex with respect to the generalized momenta. A brake orbit is a periodic solution of Hamilton’s equations such that the generalized momenta are zero on two different points. Under mild assumptions, this paper reduces the multiplicity problem of …