Resumen de The Elusive Liapunov Periodic Solutions

Kenneth R. Meyer, Jesús Francisco Palacián Subiela, Patricia Yanguas Sayas

• We illustrate the use of regular and singular reduction methods in conjunction with classical perturbation theory to find periodic solutions of Hamiltonian systems. In particular, we use these methods to find families of periodic solutions when the classical Liapunov center theorem fails due to a resonance.