Gauge conservation laws and the momentum equation in nonholonomic mechanics

DOI10.1016/S0034-4877(09)00005-6zbMath1166.37023MaRDI QIDQ1006596

Andrea Giacobbe, Nicola Sansonetto, Francesco Fassoò

Publication date: 25 March 2009

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

zbMATH Keywords

nonholonomic systemsmomentum equationfirst integralssymmetries of nonholonomic systemsgauge momentanonholonomic Noether theoremnonholonomic momentum mapgauge momentum mapreaction-annhilator distributionweakly noetherian first integrals

Mathematics Subject Classification ID

Related Items (17)

First integrals and symmetries of nonholonomic systems ⋮ AN ELEMENTAL OVERVIEW OF THE NONHOLONOMIC NOETHER THEOREM ⋮ On the dynamics of a heavy symmetric ball that rolls without sliding on a uniformly rotating surface of revolution ⋮ Conserved quantities and Hamiltonization of nonholonomic systems ⋮ Integrability and chaos in figure skating ⋮ Hamiltonization of solids of revolution through reduction ⋮ Conservation of energy and momenta in nonholonomic systems with affine constraints ⋮ Momentum map reduction for nonholonomic systems ⋮ Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems ⋮ Moving energies as first integrals of nonholonomic systems with affine constraints ⋮ Gauge momenta as Casimir functions of nonholonomic systems ⋮ On noisy extensions of nonholonomic constraints ⋮ The Hamilton-Jacobi equation, integrability, and nonholonomic systems ⋮ The geometry of nonholonomic Chaplygin systems revisited ⋮ THE CARTAN FORM FOR CONSTRAINED LAGRANGIAN SYSTEMS AND THE NONHOLONOMIC NOETHER THEOREM ⋮ Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere ⋮ A geometric characterization of certain first integrals for nonholonomic systems with symmetries

Cites Work

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• The reaction-annihilator distribution and the nonholonomic Noether theorem for lifted actions
• Geometric control and numerical aspects of nonholonomic systems
• On theorems of dynamics
• Reduction of some classical non-holonomic systems with symmetry
• On first integrals of a nonholonomic mechanical system
• Nonholonomic Noether theorem and reduction of symmetries
• Reduction of nonholonomic mechanical systems with symmetries
• Dynamical systems III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob.
• Mechanical systems with nonlinear constraints
• Geometry of nonholonomic constraints
• Examples of gauge conservation laws in nonholonomic systems
• Linear conservation laws of nonholonomic systems with symmetry
• Momentum maps and Hamiltonian reduction
• Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces
• The momentum equation and the second-order differential equation condition
• Nonholonomic mechanical systems with symmetry
• Relations between the first integrals of a nonholonomic mechanical system and of the corresponding system freed of constraints
• First integrals of non-holonomic systems and their generators

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