New integrable cases of the problem of gyrostatic motion

zbMath0661.70012MaRDI QIDQ1113703

H. M. Yehia

Publication date: 1987

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

zbMATH Keywords

integrabilityhomogeneous magnetic fieldgravity fieldclassical Kovalevska casemagnetized heavy gyrostatmotion of a gyrostat

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) Motion of charged particles (78A35) Motion of the gyroscope (70E05)

Related Items (2)

Generalizations of the Kovalevskaya case and quaternions ⋮ The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions

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