Variational Approach to Heteroclinic Orbits for a Class of Hamiltonian Systems

摘要

A large literature has developed in the last decade in which methods from thecalculus of variations have been used to prove the periodic solutions of Hamiltonian systems of ordinary differential equations. The recent monograph of Mawhin and Willem provides a sizable bibliography of such works. Aside from equilibria, periodic solutions are the simplest global in time solutions of