Continuous and discrete approaches to vakonomic mechanics

DOI10.1007/s13398-011-0028-4zbMath1261.37028OpenAlexW2011046132MaRDI QIDQ1935050

Fernando Jiménez, David Martín de Diego

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/s13398-011-0028-4

zbMATH Keywords

Hamiltonian formalismgeometric integrationsub-Riemannian geometryvakonomic mechanics

Mathematics Subject Classification ID

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) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Sub-Riemannian geometry (53C17) Nonholonomic dynamical systems (37J60)

Related Items (1)

Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators

Cites Work

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• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracket
• Discrete mechanics and variational integrators
• Discrete vakonomic mechanics
• Optimal control of underactuated mechanical systems: A geometric approach

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