Orthogonal Geodesic Chords, Brake Orbits and Homoclinic Orbits in Riemannian Manifolds

Roberto Giambó, Fabio Giannoni, Paolo Piccione

The study of solutions with fixed energy of certain classes of Lagrangian (or Hamiltonian) systems is reduced, via the classical Maupertuis--Jacobi variational principle, to the st…