Routh reduction and the class of magnetic Lagrangian systems
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Publication:2865454
DOI10.1063/1.4723841zbMath1277.70019arXiv1203.3302OpenAlexW1984797679MaRDI QIDQ2865454
Eduardo García-Toraño Andrés, Bavo Langerock, Frans Cantrijn
Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.3302
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)
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Cites Work
- Unnamed Item
- Routh reduction by stages
- Stabilization of rigid body dynamics by internal and external torques
- Reduction of symplectic manifolds with symmetry
- Controlled Lagrangian systems with gyroscopic forcing and dissipation
- Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems
- Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem
- Reduction theory and the Lagrange–Routh equations
- A Route to Routh — The Classical Setting
- Routh’s procedure for non-Abelian symmetry groups
- REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY
- Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping
- Reduction of Hamilton's variational principle
- Routhian reduction for quasi-invariant Lagrangians
