Homogeneous systems with quadratic integrals, Lie-Poisson quasibrackets, and Kovalevskaya's method

DOI10.1070/SM2015V206N12ABEH004509zbMath1358.37099MaRDI QIDQ2963675

Ivan. A. Bizyaev, Valery V. Kozlov

Publication date: 21 February 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Poisson bracketfirst integralsconformally Hamiltonian systemKovalevskaya systemdynamical systems with quadratic right-hand sides

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Higher-dimensional generalizations in rigid body dynamics (70E45)

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