Variational development of the semi-symplectic geometry of nonholonomic mechanics
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Publication:2480672
DOI10.1016/S0034-4877(07)00011-0zbMath1171.37330OpenAlexW2077358608MaRDI QIDQ2480672
Publication date: 3 April 2008
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(07)00011-0
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
The intrinsic linearization of equilibria of nonholonomic systems, Skew critical problems, Geometric discrete analogues of tangent bundles and constrained Lagrangian systems, Decomposition of almost Poisson structure of non-self-adjoint dynamical systems
Cites Work
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- Dynamics on Leibniz manifolds
- Almost Poisson spaces and nonholonomic singular reduction
- Analytical dynamics of discrete systems
- Nonholonomic Noether theorem and reduction of symmetries
- Reduction of nonholonomic mechanical systems with symmetries
- Poisson reduction for nonholonomic mechanical systems with symmetry
- Various approaches to conservative and nonconservative nonholonomic systems
- Examples of singular nonholonomic reduction
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- Nonholonomic reduction
- Mechanical systems with nonlinear constraints
- Geometry of nonholonomic constraints
- Examples of gauge conservation laws in nonholonomic systems
- The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
- Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach
- On the Hamiltonian formulation of nonholonomic mechanical systems
- Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
- The momentum equation and the second-order differential equation condition
- Reduction of constrained mechanical systems and stability of relative equilibria
- Nonholonomic mechanical systems with symmetry
- Variational principles for constrained systems: Theory and experiment
- The Optimal Momentum Map
- Reduction, symmetry, and phases in mechanics
- On almost-Poisson structures in nonholonomic mechanics
- A geometrical framework for the study of non-holonomic Lagrangian systems: II
- Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers
- Reduction of constrained systems with symmetries
- A geometrical framework for the study of non-holonomic Lagrangian systems
- Reduction and reconstruction of the dynamics of nonholonomic systems
- Orbits of Families of Vector Fields and Integrability of Distributions
- On the geometry of non-holonomic Lagrangian systems
- Symmetry and reduction in implicit generalized Hamiltonian systems
