Reduction of nonholonomic mechanical systems with symmetries

DOI10.1016/S0034-4877(98)80003-7zbMath0973.37505OpenAlexW2073184752MaRDI QIDQ1289581

Frans Cantrijn, David Martín de Diego, Juan Carlos Marrero, Manuel de León

Publication date: 29 June 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(98)80003-7

Mathematics Subject Classification ID

Related Items (26)

REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY ⋮ First integrals and symmetries of nonholonomic systems ⋮ Remarks on multisymplectic reduction ⋮ Jacobi fields in nonholonomic mechanics ⋮ AN ELEMENTAL OVERVIEW OF THE NONHOLONOMIC NOETHER THEOREM ⋮ Reduction of Lagrangian mechanics on Lie algebroids ⋮ Geometric integrators and nonholonomic mechanics ⋮ Conserved quantities and Hamiltonization of nonholonomic systems ⋮ Rolling balls over spheres in $ \newcommand{\m}{\mathfrak m} {\mathbb{R}^n}$ ⋮ Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems ⋮ Conservation of energy and momenta in nonholonomic systems with affine constraints ⋮ Nonlinear nonholonomic systems: a simple approach and various examples ⋮ Dirac structures, nonholonomic systems and reduction ⋮ On some aspects of the discretization of the Suslov problem ⋮ Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems ⋮ Rubber rolling over a sphere ⋮ The reaction-annihilator distribution and the nonholonomic Noether theorem for lifted actions ⋮ Discrete nonholonomic Lagrangian systems on Lie groupoids ⋮ THE MOMENTUM MAP FOR NONHOLONOMIC FIELD THEORIES WITH SYMMETRY ⋮ Variational development of the semi-symplectic geometry of nonholonomic mechanics ⋮ Gauge conservation laws and the momentum equation in nonholonomic mechanics ⋮ Reduction of a Hamilton-Jacobi equation for nonholonomic systems ⋮ DYNAMICS AND BIFURCATIONS OF A NONHOLONOMIC HEISENBERG SYSTEM ⋮ Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach ⋮ Cosymplectic reduction of constrained systems with symmetry ⋮ A geometric characterization of certain first integrals for nonholonomic systems with symmetries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reduction of some classical non-holonomic systems with symmetry
• Nonholonomic Noether theorem and reduction of symmetries
• Nonholonomic reduction
• Geometry of nonholonomic constraints
• Examples of gauge conservation laws in nonholonomic systems
• Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach
• On the Hamiltonian formulation of nonholonomic mechanical systems
• Reduction of constrained mechanical systems and stability of relative equilibria
• Nonholonomic mechanical systems with symmetry
• Variational principles for constrained systems: Theory and experiment
• Reduction, symmetry, and phases in mechanics
• A differential geometric setting for mixed first- and second-order ordinary differential equations
• A geometrical framework for the study of non-holonomic Lagrangian systems: II
• Dirac Brackets in Constrained Dynamics
• Reduction of constrained systems with symmetries
• A geometrical framework for the study of non-holonomic Lagrangian systems
• On the geometry of non-holonomic Lagrangian systems

This page was built for publication: Reduction of nonholonomic mechanical systems with symmetries