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Variational principle for periodic orbits of invertible dynamical equations. (English. Russian original) Zbl 1200.49047
Dokl. Math. 81, No. 1, 139-141 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 5, 603-605 (2010).
From the text: We state a variational principle first for the periodic orbits of the problem of \(n\) gravitating bodies and then for general invertible systems.
49S05 Variational principles of physics
34H05 Control problems involving ordinary differential equations
49K15 Optimality conditions for problems involving ordinary differential equations
70Q05 Control of mechanical systems
Full Text: DOI
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