Lagrangian reduction of nonholonomic discrete mechanical systems by stages
DOI10.3934/jgm.2020029zbMath1480.37074arXiv2009.09582OpenAlexW3087266444MaRDI QIDQ2057388
Marcela Zuccalli, Cora Tori, Javier Fernández
Publication date: 6 December 2021
Published in: Journal of Geometric Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.09582
Variational methods for problems in mechanics (70G75) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Nonholonomic dynamical systems (37J60) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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Cites Work
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- Lagrangian reduction of discrete mechanical systems by stages
- The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators
- Geometric control and numerical aspects of nonholonomic systems
- Error analysis of variational integrators of unconstrained Lagrangian systems
- Integrators for nonholonomic mechanical systems
- Hamiltonian reduction by stages
- Discrete nonholonomic Lagrangian systems on Lie groupoids
- 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
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- 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
- Non-holonomic integrators
- Variational order for forced Lagrangian systems
- Discrete mechanics and variational integrators
- Discrete Routh reduction
- Geometric Numerical Integration
- Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids
- Discrete nonholonomic LL systems on Lie groups
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