A generalization of the canonical form of Poincaré's equations

DOI10.1016/0021-8928(87)90047-5zbMath0653.70018OpenAlexW2018224141MaRDI QIDQ1108088

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)90047-5

zbMATH Keywords

complete integrabilityLiouville's theoremChetayev variablesintegrability in integral manifoldsKozlov-Kolesnikov theoremnonlinear reversible replacements of canonical momentaPoincaré's equationsthe Hamiltonian systemtheorem on classes of equivalence of Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (2)

General equations of analytical dynamics. ⋮ Unnamed Item

Cites Work

• The Poincaré and Poincaré - Chetayev equations
• Integrability of Hamiltonian systems
• Unnamed Item

This page was built for publication: A generalization of the canonical form of Poincaré's equations