Symplectic reduction of higher order Lagrangian systems with symmetry
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Publication:4837144
DOI10.1063/1.530890zbMath0824.70012OpenAlexW1984958743MaRDI QIDQ4837144
Paulo Pitanga, Manuel de León, Paulo R. Rodrigues
Publication date: 4 July 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530890
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)
Related Items (7)
Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions ⋮ Symmetries and constants of the motion for higher-order Lagrangian systems ⋮ Second order Lagrangian dynamics on double cross product groups ⋮ Reductions of topologically massive gravity II. First order realizations of second order Lagrangians ⋮ Unified formalism for higher-order variational problems and its applications in optimal control ⋮ HIGHER-ORDER DISCRETE LAGRANGIAN MECHANICS ⋮ Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians
Cites Work
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- On the problem of stability for higher-order derivative Lagrangian systems
- Lagrangian reduction and the double spherical pendulum
- Reduction of symplectic manifolds with symmetry
- The canonical structure of Podolsky generalized electrodynamics
- Higher-order differential equations and higher-order lagrangian mechanics
- Canonical structures for dispersive waves in shallow water
- Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints
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