Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 42, pp. 1-12.

Title: Infinitely many homoclinic orbits for  
       Hamiltonian systems with group symmetries

Author: Cheng Lee (National Changhua Univ., Changhua, Taiwan)

Abstract: 
 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 $z\in {\mathbb R}^{2N}$, is superquadratic as
 $|z|\to\infty$, and satisfies some additional assumptions

Submitted March 19, 1999. Published October 12, 1999.
Math Subject Classifications: 34B30, 34C37.
Key Words: Hamiltonian system; homoclinic orbits.