Geodesic
Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries
Electronic journal of differential equations, Tome 1999 (1999)
This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of the first-order time-dependent Hamiltonian systems

$ \dot{z}=JH_z(t,z) $

without any periodicity assumption on $H$, providing that $H(t,z)$ is G-symmetric with respect to $z\in {\Bbb R}^{2N}$, is superquadratic as $|z|\to\infty$, and satisfies some additional assumptions.
Classification : 34B30, 34C37
Keywords: Hamiltonian system, homoclinic orbits 
@article{EJDE_1999__1999__a64,
     author = {Lee,  Cheng},
     title = {Infinitely many homoclinic orbits for {Hamiltonian} systems with group symmetries},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0973.37039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a64/}
}
TY  - JOUR
AU  - Lee,  Cheng
TI  - Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries
JO  - Electronic journal of differential equations
PY  - 1999
VL  - 1999
UR  - http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a64/
LA  - en
ID  - EJDE_1999__1999__a64
ER  - 
%0 Journal Article
%A Lee,  Cheng
%T Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a64/
%G en
%F EJDE_1999__1999__a64
Lee,  Cheng. Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a64/