This work uses a variational approach to establish the existence of at least two homoclinic solutions for a family of singular Newtonian systems in ℝ³ which are subjected to almost periodic forcing in time variable.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-1-3,
author = {Robert Krawczyk},
title = {Homoclinic orbits for an almost periodically forced singular Newtonian system in $\mathbb{R}$$^3$},
journal = {Annales Polonici Mathematici},
volume = {113},
year = {2015},
pages = {29-43},
zbl = {1327.34079},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-1-3}
}
Robert Krawczyk. Homoclinic orbits for an almost periodically forced singular Newtonian system in ℝ³. Annales Polonici Mathematici, Tome 113 (2015) pp. 29-43. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap114-1-3/