%0 Journal Article %T Existence and multiplicity results for homoclinic orbits of Hamiltonian systems %A Chao-Nien Chen %A Shyuh-Yaur Tzeng %J Electronic Journal of Differential Equations %D 1997 %I Texas State University %X Homoclinic orbits play an important role in the study of qualitative behavior of dynamical systems. Such kinds of orbits have been studied since the time of Poincare. In this paper, we discuss how to use variational methods to study the existence of homoclinic orbits of Hamiltonian systems. %K Hamiltonian system %K homoclinic %K calculus of variations. %U http://ejde.math.txstate.edu/Volumes/1997/07/abstr.html