On classical mechanical systems with nonlinear constraints

DOI10.1016/j.geomphys.2003.08.005zbMath1159.70353OpenAlexW2001997278MaRDI QIDQ557217

Gláucio Terra, Marcelo Hissakiti Kobayashi

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2003.08.005

zbMATH Keywords

nonholonomic mechanicsnonlinear constraintsConstrained mechanical systems

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) 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) Nonholonomic dynamical systems (37J60)

Related Items (9)

On the variational mechanics with nonlinear constraints ⋮ Rolling Ball Problems ⋮ Conservation of energy and momenta in nonholonomic systems with affine constraints ⋮ Nonlinear nonholonomic systems: a simple approach and various examples ⋮ Nonholonomic and constrained variational mechanics ⋮ On some aspects of the geometry of non integrable distributions and applications ⋮ A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems ⋮ Vakonomic versus nonholonomic mechanics revisited ⋮ Geometric aspects of nonholonomic field theories

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