Classification of the family of Kovalevskaya-Yehia systems up to Liouville equivalence

DOI10.1134/S1064562413050141zbMath1291.70014MaRDI QIDQ393855

N. S. Slavina

Publication date: 24 January 2014

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

zbMATH Keywords

bifurcation diagramLiouville foliationFomenko-Zieschang invariantsmarked moleculesrigid body systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05) Topological and differential topological methods for problems in mechanics (70G40)

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Cites Work

• Smale–Fomenko diagrams and rough topological invariants of the Kowalevski–Yehia case
• The method of loop molecules and the topology of the Kovalevskaya top
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