A Note on Homoclinic Orbits for Second Order Hamiltonian Systems
Dynamical Systems
2014-10-14 v2
Abstract
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.
Cite
@article{arxiv.1409.5970,
title = {A Note on Homoclinic Orbits for Second Order Hamiltonian Systems},
author = {Bingyu Li and Fengying Li and Donglun Wu and Shiqing Zhang},
journal= {arXiv preprint arXiv:1409.5970},
year = {2014}
}