Abstract: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.
Keywords: Lagrangian system; periodic solution
DOI: DOI 10.14712/1213-7243.2015.243
AMS Subject Classification: 34C25 70F20