On the conditions for the existence of the reducing Chaplygin factor

DOI10.1016/0021-8928(85)90026-7zbMath0596.70011OpenAlexW2045833106MaRDI QIDQ1079028

B. George

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90026-7

zbMATH Keywords

equivalent non-holonomic systemsexistence of a reducing Chaplygin factornon-holonomic systems with k degrees of freedomwidened configuration space

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

Generalisation of Chaplygin’s reducing multiplier theorem with an application to multi-dimensional nonholonomic dynamics ⋮ Unnamed Item ⋮ Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints ⋮ The geometry of nonholonomic Chaplygin systems revisited ⋮ Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere

Cites Work

• On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
• On first integrals of a nonholonomic mechanical system
• Chaplygin's equations and the theorem of the additional multiplier in the case of quasicoordinates
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