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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.
MSC:
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
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