On the geometry of non-holonomic Lagrangian systems
From MaRDI portal
Publication:5284794
DOI10.1063/1.531571zbMath0869.70008OpenAlexW1984062601MaRDI QIDQ5284794
Manuel de León, David Martín de Diego
Publication date: 4 September 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531571
Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Nonholonomic dynamical systems (37J60)
Related Items
Hamiltonian theory of constrained impulsive motion, Jacobi fields in nonholonomic mechanics, Exact discrete Lagrangian mechanics for nonholonomic mechanics, Geometric Hamilton–Jacobi theory for systems with external forces, Mechanical systems with nonlinear constraints, A Geometric Approach to the Optimal Control of Nonholonomic Mechanical Systems, Iper-ideal kinetic constraints in continuum mechanics, Geometric integrators and nonholonomic mechanics, A generalization of Chetaev’s principle for a class of higher order nonholonomic constraints, Lagrangian submanifolds and the Hamilton-Jacobi equation, On the discretization of nonholonomic dynamics in \(\mathbb{R}^n\), A historical review on nonholomic mechanics, A new perspective on nonholonomic brackets and Hamilton-Jacobi theory, Nonlinear nonholonomic systems: a simple approach and various examples, Nonholonomic systems with inequality constraints, Nonholonomic brackets: Eden revisited, A Herglotz-based integrator for nonholonomic mechanical systems, On a time-dependent nonholonomic oscillator, Lagrange-d'Alembert-Poincaré equations by several stages, A constraint algorithm for singular Lagrangians subjected to nonholonomic constraints, NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES, General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids, On generalized nonholonomic systems, Non-holonomic connections following Élie Cartan, Rheonomic systems with nonlinear nonholonomic constraints: the Voronec equations, Unnamed Item, The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracket, Radial kinetic nonholonomic trajectories are Riemannian geodesics!, Discrete nonholonomic Lagrangian systems on Lie groupoids, Higher-order mechanical systems with constraints, Mechanical systems with nonholonomic constraints, GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS, Hamilton–Jacobi equations for nonholonomic dynamics, Variational development of the semi-symplectic geometry of nonholonomic mechanics, Unnamed Item, Anholonomic frames in constrained dynamics, Point reduction in almost symplectic manifolds, On the geometry of discrete contact mechanics, The rotating rigid body model based on a non-twisting frame, Geometric numerical integration of nonholonomic systems and optimal control problems, An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems, Reduction of constrained systems with symmetries, Nonholonomic constraints in time-dependent mechanics, The geometry of nonholonomic Chaplygin systems revisited, Contact Hamiltonian and Lagrangian systems with nonholonomic constraints, THE CARTAN FORM FOR CONSTRAINED LAGRANGIAN SYSTEMS AND THE NONHOLONOMIC NOETHER THEOREM, Reduction of a Hamilton-Jacobi equation for nonholonomic systems, Cartan meets Chaplygin, Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere, MECHANICAL SYSTEMS ON ALMOST PARA/PSEUDO-KÄHLER–WEYL MANIFOLDS, Symmetry and conservation laws in non-holonomic mechanics, Nonholonomic Noether theorem and reduction of symmetries, Reduction of nonholonomic mechanical systems with symmetries, Affine connections and distributions with applications to nonholonomic mechanics, Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach, On the geometry of Lagrangian mechanics with non-holonomic constraints, A nonholonomic Newmark method, Partial differential equations with differential constraints, Nonholonomic constraints in classical field theories, WEYL-MECHANICAL SYSTEMS ON TANGENT MANIFOLDS OF CONSTANT W-SECTIONAL CURVATURE, The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories, Hamilton–Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints, Constrained Lagrangian dissipative contact dynamics, Generalized nonholonomic mechanics, servomechanisms and related brackets, Jacobi multipliers and Hamel’s formalism, On the virial theorem for nonholonomic Lagrangian systems, Geometric aspects of nonholonomic field theories
Cites Work
- Hamiltonian systems with constraints and their meaning in mechanics
- Reduction of some classical non-holonomic systems with symmetry
- Nonholonomic reduction
- Structure presque tangente et connexions. I
- Jet methods in nonholonomic mechanics
- Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints
- Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers
- 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 Hamilton's principle for nonholonomic systems
