Homoclinic Orbits for a Class of Hamiltonian Systems.

摘要

There is a large literature on the use of variational methods to prove the existence of periodic solutions of Hamiltonian systems. However, it is only relatively recently that these methods have been applied to the existence of homoclinic or heteroclinic orbits of Hamiltonian systems. Such orbits have been studied since the time of Poincare, but mainly by perturbation methods. Reprints. (rh)