Korman, Philip; Lazer, Alan C.

Homoclinic orbits for a class of symmetric Hamiltonian systems

Electron. J. Differ. Equ. 1994(1), (1994)


Summary: We study existence of homoclinic orbits for a class of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits. We use variational approach.

Mathematics Subject Classification

34B15, 34A34


homoclinic orbits, mountain-pass lemma