A constraint algorithm for singular Lagrangians subjected to nonholonomic constraints

DOI10.1063/1.532051zbMath0878.58027OpenAlexW2053860383MaRDI QIDQ4345158

Manuel de León, David Martín de Diego

Publication date: 18 January 1998

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

Full work available at URL: http://hdl.handle.net/10261/100773

zbMATH Keywords

nonholonomic constraintssingular Lagrangian systems

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items (7)

A historical review on nonholomic mechanics ⋮ On the Hamilton-Jacobi theory for singular lagrangian systems ⋮ A HAMILTON–JACOBI THEORY FOR SINGULAR LAGRANGIAN SYSTEMS IN THE SKINNER AND RUSK SETTING ⋮ The rotating rigid body model based on a non-twisting frame ⋮ Reduction of constrained systems with symmetries ⋮ Contact Hamiltonian and Lagrangian systems with nonholonomic constraints ⋮ Hamilton–Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints

Cites Work

• Reduction of some classical non-holonomic systems with symmetry
• Nonholonomic reduction
• Examples of gauge conservation laws in nonholonomic systems
• Jet methods in nonholonomic mechanics
• Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers
• Non-holonomic Lagrangian systems in jet manifolds
• A geometrical framework for the study of non-holonomic Lagrangian systems
• Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints
• On the geometry of non-holonomic Lagrangian systems

This page was built for publication: A constraint algorithm for singular Lagrangians subjected to nonholonomic constraints