Generalization of the Goryachev--Chaplygin case

DOI10.1070/RD2002V007N01ABEH000192zbMath1013.70006arXivnlin/0302062MaRDI QIDQ1860536

Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 24 February 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0302062

zbMATH Keywords

Poisson bracketsKirchhoff equationsEuler-Poisson equationgeneralized Goryachev-Chaplygin integrable casequaternion rigid body dynamics' equationsSokolov terms

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40)

Related Items (3)

Generalizations of the Kovalevskaya case and quaternions ⋮ Linear invariant relations of Kirchhoff's equations ⋮ Extensions of the Appelrot classes for the generalized gyrostat in a double force field

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