Geodesic
Variational and penalization methods for studying connecting orbits of Hamiltonian systems
Electronic journal of differential equations, Tome 2000 (2000)
In this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria. Applying penalization methods, we obtain various patterns for multibump homoclinics and heteroclinics of Hamiltonian systems.
Classification : 34C37, 49M30, 58E99, 58F09
Keywords: Hamiltonian system, homoclinic, heteroclinic, calculus of variations 
@article{EJDE_2000__2000__a134,
     author = {Chen,  Chao-Nien and Tzeng,  Shyuh-yaur},
     title = {Variational and penalization methods for studying connecting orbits of {Hamiltonian} systems},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0951.37019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a134/}
}
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%A Tzeng,  Shyuh-yaur
%T Variational and penalization methods for studying connecting orbits of Hamiltonian systems
%J Electronic journal of differential equations
%D 2000
%V 2000
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%G en
%F EJDE_2000__2000__a134
Chen,  Chao-Nien; Tzeng,  Shyuh-yaur. Variational and penalization methods for studying connecting orbits of Hamiltonian systems. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a134/