Regularity aspects and Hamiltonization of non-holonomic systems

DOI10.1088/0305-4470/32/39/311zbMath0978.70014OpenAlexW1980427105MaRDI QIDQ4947799

David J.Saunders, Frans Cantrijn, Willy Sarlet

Publication date: 25 April 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/32/39/311

zbMATH Keywords

velocity-dependent constraintsgeneral nonholonomic constraintsconstraints defined by connectiontime-dependent second-order dynamical systemstransition from Lagrange's to Hamilton's equations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03)

Related Items (6)

General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids ⋮ Partial differential equations with differential constraints ⋮ Cosymplectic reduction of constrained systems with symmetry ⋮ Moving frames for cotangent bundles ⋮ Recent results in the geometry of constrained systems ⋮ Skinner-Rusk approach to time-dependent mechanics

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