Variational principle for periodic orbits of invertible dynamical equations

DOI10.1134/S1064562410010382zbMath1200.49047OpenAlexW2058093601MaRDI QIDQ606525

Valery V. Kozlov

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410010382

zbMATH Keywords

invertible dynamical equationsmean potential energyvariational principle for periodic orbits

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Control problems involving ordinary differential equations (34H05) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05)

Cites Work

• On the Occurrence of Commensurable Mean Motions in the Solar System: The Mirror Theorem
• Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: `Hip-hop' orbits
• Action-minimizing orbits in the parallelogram four-body problem with equal masses

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