The symmetry reduction of variational integrals
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Publication:4683371
DOI10.21136/MB.2017.0008-17zbMath1463.49055OpenAlexW2771429731MaRDI QIDQ4683371
Veronika Chrastinová, Václav Tryhuk
Publication date: 20 September 2018
Published in: Mathematica Bohemica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/mb.2017.0008-17
controllabilityvariationRouth reductionstandard basisPoincaré-Cartan formdiffietyLagrange variational problem
Variational principles of physics (49S05) Lagrange's equations (70H03) Miscellaneous topics in calculus of variations and optimal control (49N99)
Related Items
On the Lagrange variational problem, The Poincaré-Cartan forms of one-dimensional variational integrals, The symmetry reduction of variational integrals, complement
Cites Work
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- Finsler geodesics of Lagrangian systems through Routh reduction
- Routh reduction and Cartan mechanics
- The Lie group in infinite dimension
- A route to Routh -- the parametric problem
- Differential form methods in the theory of variational systems and Lagrangian field theories
- Automorphisms of ordinary differential equations
- Exterior differential systems and the calculus of variations
- Reduction theory and the Lagrange–Routh equations
- On the internal approach to differential equations. 1. The involutiveness and standard basis
- On the internal approach to differential equations 3. Infinitesimal symmetries
- A Route to Routh — The Classical Setting
- On the Mapping of Jet Spaces
- Routh’s procedure for non-Abelian symmetry groups
- On the internal approach to differential equations 2. The controllability structure