5 research outputs found
A Note on Homoclinic Orbits for Second Order Hamiltonian Systems
In this paper, we study the existence for the homoclinic orbits for the
second order Hamiltonian systems. Under suitable conditions on the potential
, we apply the direct method of variations and the Fourier analysis to prove
the existence of homoclinc orbits
Hyperbolic Orbits for a Class of Singular Hamiltonian Systems
The existence of hyperbolic orbits is proved for a class of singular
Hamiltonian systems by taking limit for a
sequence of periodic solutions which are the variational minimizers of
Lagrangian actions