AN ELEMENTAL OVERVIEW OF THE NONHOLONOMIC NOETHER THEOREM

DOI10.1142/S0219887809004259zbMath1188.37053MaRDI QIDQ5305095

Nicola Sansonetto, Francesco Fassoò

Publication date: 19 March 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

nonholonomic Noether theorem

Mathematics Subject Classification ID

Related Items (12)

First integrals and symmetries of nonholonomic systems ⋮ Integrability and chaos in figure skating ⋮ Conservation of energy and momenta in nonholonomic systems with affine constraints ⋮ Symmetries and reduction in nonholonomic mechanics ⋮ Implementation of orbital attitude control laws on a nonholonomic platform ⋮ Moving energies as first integrals of nonholonomic systems with affine constraints ⋮ Gauge momenta as Casimir functions of nonholonomic systems ⋮ Routh symmetry in the Chaplygin's rolling ball ⋮ 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 ⋮ Symmetry and conservation laws in non-holonomic mechanics

Cites Work

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• 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
• Reduction and reconstruction of the dynamics of nonholonomic systems

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