On a remark of Poincaré

DOI10.1016/0021-8928(87)90003-7zbMath0677.70020OpenAlexW2006532536MaRDI QIDQ1123662

L. M. Markhashov

Publication date: 1987

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(87)90003-7

zbMATH Keywords

Lie groupsnon-autonomous mechanical systemsChetayev variablesPoincaré's equationsgeodesic left-invariant metrics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

Related Items (1)

General equations of analytical dynamics.

Cites Work

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• The Poincaré and Poincaré - Chetayev equations
• On the stability of the equilibrium positions for discontinuous systems

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