We give an existence theorem for bounded solutions to a system of second order ODEs. Dynamical applications are considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am42-2-3,
author = {Oleg Zubelevich},
title = {Bounded solutions to a system of second order ODEs and the Whitney pendulum},
journal = {Applicationes Mathematicae},
volume = {42},
year = {2015},
pages = {159-165},
zbl = {06506203},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-2-3}
}
Oleg Zubelevich. Bounded solutions to a system of second order ODEs and the Whitney pendulum. Applicationes Mathematicae, Tome 42 (2015) pp. 159-165. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-2-3/