First integrals of non-holonomic systems and their generators

DOI10.1088/0305-4470/33/30/308zbMath0974.70012OpenAlexW2080820338MaRDI QIDQ4518229

Giovanni Giachetta

Publication date: 18 December 2001

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

Full work available at URL: https://doi.org/10.1088/0305-4470/33/30/308

zbMATH Keywords

first integralsNoether's theoremnonholonomic constraintsconstraint submanifoldsecond-order dynamics2-formpresymplectic geometryevolution spaceChetaev's principle of virtual worknonholonomic Lagrangian formulation

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)

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