Geodesic
Periodic solutions to Lagrangian system
Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 2, pp. 241-251.

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A classical mechanics Lagrangian system with even Lagrangian is considered. The configuration space is a cylinder $\mathbb{R}^m\times\mathbb{T}^n$. A large class of nonhomotopic periodic solutions has been found.
DOI : 10.14712/1213-7243.2015.243
Classification : 34C25, 70F20
Keywords: Lagrangian system; periodic solution 
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Zubelevich, Oleg. Periodic solutions to Lagrangian system. Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 2, pp. 241-251. doi : 10.14712/1213-7243.2015.243. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.243/

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