Geometric discrete analogues of tangent bundles and constrained Lagrangian systems

DOI10.1016/j.geomphys.2009.04.005zbMath1166.70012arXiv0807.1511OpenAlexW2020110789MaRDI QIDQ1029487

Charles Cuell, George W. Patrick

Publication date: 10 July 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1511

zbMATH Keywords

nonholonomic systemsphase spacevariational integrators

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) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03)

Related Items (5)

Error analysis of variational integrators of unconstrained Lagrangian systems ⋮ Retraction maps: a seed of geometric integrators ⋮ General techniques for constructing variational integrators ⋮ The geometry of convergence in numerical analysis ⋮ Error analysis of forced discrete mechanical systems

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