On the linear integrals of the Chaplygin equations

DOI10.1016/0021-8928(81)90063-0zbMath0499.70022OpenAlexW2086558315MaRDI QIDQ1171892

A. S. Sumbatov

Publication date: 1981

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(81)90063-0

zbMATH Keywords

Chaplygin systemconfigurational manifoldexistence of first integral determines congruence of curveslinear first integralperfect constraints

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (2)

Reducing the equations of motion of certain nonholonomic Chaplygin systems to Lagrangian and Hamiltonian form ⋮ Unnamed Item

Cites Work

• On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
• On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
• Unnamed Item

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