Lagrangian reduction of discrete mechanical systems by stages

DOI10.3934/jgm.2016.8.35zbMath1333.37071arXiv1511.06682OpenAlexW2177623250MaRDI QIDQ254842

Marcela Zuccalli, Cora Tori, Javier Fernández

Publication date: 16 March 2016

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06682

zbMATH Keywords

discrete mechanical systemsgeometric mechanicssymmetry and reduction

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (4)

Discrete Hamilton–Jacobi theory for systems with external forces ⋮ Lagrangian reduction by stages in field theory ⋮ Lagrangian reduction of forced discrete mechanical systems ⋮ Lagrangian reduction of nonholonomic discrete mechanical systems by stages

Cites Work

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• Integrators for nonholonomic mechanical systems
• Lagrangian reduction of nonholonomic discrete mechanical systems
• Reduction of symplectic manifolds with symmetry
• Reduction in principal bundles: covariant Lagrange-Poincaré equations
• Lagrange-d'Alembert-Poincaré equations by several stages
• A geometric approach to discrete connections on principal bundles
• Reduction of symplectic Lie algebroids by a Lie subalgebroid and a symmetry Lie group
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Topology and mechanics. I
• Topology and mechanics. II: The planar \(n\)-body problem
• Lagrangian reduction by stages
• Discrete mechanics and variational integrators
• Discrete Routh reduction
• Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids

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