Dirac cotangent bundle reduction
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Publication:834818
DOI10.3934/jgm.2009.1.87zbMath1168.70314OpenAlexW2168483337MaRDI QIDQ834818
Hiroaki Yoshimura, Jerrold E. Marsden
Publication date: 27 August 2009
Published in: Journal of Geometric Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jgm.2009.1.87
Dirac cotangent bundle reductiongauged Dirac structuresHamilton-Poincaré-Dirac reductionimplicit Lagrange-Poincaré equations and Hamilton-Poincaré equationsLagrange-Poincaré-Dirac reduction
Hamilton's equations (70H05) Momentum maps; symplectic reduction (53D20) Other variational principles in mechanics (70H30) Lagrange's equations (70H03)
Related Items (13)
Implicit Lagrange-Routh equations and Dirac reduction ⋮ Poisson-Poincaré reduction for field theories ⋮ Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups ⋮ Infinite dimensional Lagrange-Dirac mechanics with boundary conditions ⋮ Interconnection of Lagrange–Dirac systems through nonstandard interaction structures ⋮ Tulczyjew’s triplet with an Ehresmann connection I: Trivialization and reduction ⋮ Dirac structures, nonholonomic systems and reduction ⋮ Dirac reduction for nonholonomic mechanical systems and semidirect products ⋮ Variational and geometric structures of discrete Dirac mechanics ⋮ Induced Dirac structures on isotropy-type manifolds ⋮ Tensor products of Dirac structures and interconnection in Lagrangian mechanics ⋮ The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories ⋮ Hamilton–Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints
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