The Local Description of Discrete Mechanics

DOI10.1007/978-1-4939-2441-7_13zbMath1365.53078arXiv1303.4047OpenAlexW1038000121MaRDI QIDQ3463521

Eduardo Martínez, David Martín de Diego, Juan Carlos Marrero

Publication date: 19 January 2016

Published in: Geometry, Mechanics, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4047

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Topological groupoids (including differentiable and Lie groupoids) (22A22) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (6)

Exact discrete Lagrangian mechanics for nonholonomic mechanics ⋮ Second-order variational problems on Lie groupoids and optimal control applications ⋮ Discrete connections on principal bundles: the discrete Atiyah sequence ⋮ Discrete dynamical systems over double cross-product Lie groupoids ⋮ Generalized variational calculus for continuous and discrete mechanical systems ⋮ Local convexity for second order differential equations on a Lie algebroid

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