Geodesic
Homoclinic orbits for a class of symmetric Hamiltonian systems
Electronic Journal of Differential Equations, Tome 1994 (1994) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 34B15, 34A34
Keywords: homoclinic orbits, mountain-pass lemma 
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     author = {Korman, Philip and Lazer, Alan C.},
     title = {Homoclinic orbits for a class of symmetric {Hamiltonian} systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1994},
     number = {1},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1994__1994_1_a0/}
}
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Korman, Philip; Lazer, Alan C. Homoclinic orbits for a class of symmetric Hamiltonian systems. Electronic Journal of Differential Equations, Tome 1994 (1994) no. 1. http://geodesic.mathdoc.fr/item/EJDE_1994__1994_1_a0/