Variational integrators in discrete vakonomic mechanics

DOI10.1007/s13398-011-0030-xzbMath1277.37094OpenAlexW2024893911MaRDI QIDQ1935054

César Rodrigo, Pedro L. García, Antonio Fernández

Publication date: 30 January 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0030-x

zbMATH Keywords

generating functionsvariational integratorsvakonomic mechanicsdiscrete Cartan forms

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Nonholonomic dynamical systems (37J60)

Related Items (3)

The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ Variational integrators in discrete time-dependent optimal control theory ⋮ Discrete formulation for the dynamics of rods deforming in space

Cites Work

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• Discrete total variation calculus and Lee's discrete mechanics

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