Isotropic submanifolds and the inverse problem for mechanical constrained systems

DOI10.1088/1751-8113/48/4/045210zbMath1308.49026arXiv1404.1961OpenAlexW3102406389MaRDI QIDQ5175177

David Martín de Diego, Marta Farré Puiggalí, María Barbero-Liñán

Publication date: 20 February 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1961

zbMATH Keywords

inverse problemLagrangian submanifoldsnonholonomic systemscalculus of variationsisotropic submanifolds

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Nonholonomic systems related to the dynamics of a system of particles (70F25) Inverse problems in optimal control (49N45)

Related Items (4)

Inverse problem for Lagrangian systems on Lie algebroids and applications to reduction by symmetries ⋮ The inverse problem of the calculus of variations for discrete systems ⋮ An extension to the theory of controlled Lagrangians using the Helmholtz conditions ⋮ Linear connections and shape maps for second order ODEs with and without constraints

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