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 generalized momenta. A brake orbit is a periodic solution Hamilton’s equations such that momenta are zero on two different points. Under mild assumptions, this paper reduces multiplicity problem orbits for function type orthogonal geodesic chords in concave Finslerian manifold boundary. This will be used generalization Seifert’s conjecture about type.