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Subjects
70-XX Mechanics of particles and systems
70Fxx Dynamics of a system of particles, including celestial mechanics
70F20 Holonomic systems

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Periodic solutions to Lagrangian system

Oleg Zubelevich (2018)

Commentationes Mathematicae Universitatis Carolinae

A classical mechanics Lagrangian system with even Lagrangian is considered. The configuration space is a cylinder $ℝ^{m} \times 𝕋^{n}$ . A large class of nonhomotopic periodic solutions has been found.

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