A Route to Routh — The Classical Setting

DOI10.1142/S1402925111001180zbMath1217.49040OpenAlexW2091800017MaRDI QIDQ2996770

Ladislav Adamec

Publication date: 3 May 2011

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925111001180

zbMATH Keywords

calculus of variationsNoether's theoremRouth reductionPoincaré-Cartan formcyclic variables

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Variational principles of physics (49S05) Lagrange's equations (70H03) Miscellaneous topics in calculus of variations and optimal control (49N99)

Related Items (5)

A route to Routh -- the parametric problem ⋮ Routh reduction and Cartan mechanics ⋮ The symmetry reduction of variational integrals ⋮ Geometry of Routh reduction ⋮ Routh reduction and the class of magnetic Lagrangian systems

Cites Work

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• The geometry of ordinary variational equations
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Topology and mechanics. I
• Reduction theory and the Lagrange–Routh equations
• Reduction of Hamilton's variational principle
• Discrete Routh reduction

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