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/