scientific article; zbMATH DE number 1876968

zbMath1010.70005MaRDI QIDQ4796623

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Publication date: 5 March 2003

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zbMATH Keywords

invarianceconservation lawsfirst integralsquasi-coordinatesgauge functionsinfinitesimal transformationsHamilton's action integralLagrange gyroscopeNoether's theoryKovalevskaya gyroscopegenerators of transformationsGoryachev-Chaplygin gyroscopeEuler gyroscopeGrioli gyroscopeHess-Apel'rot gyroscope

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05)

Related Items (3)

Some recent generalizations of the classical rigid body systems ⋮ Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems ⋮ Noether symmetries and integrability in time-dependent Hamiltonian mechanics

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