Some recent generalizations of the classical rigid body systems

DOI10.1007/s40598-016-0054-6zbMath1378.70007OpenAlexW2522989019MaRDI QIDQ346733

Vladimir Dragović, Borislav Gajić

Publication date: 30 November 2016

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-016-0054-6

zbMATH Keywords

rigid body dynamicsBaker-Akhiezer functionLax representationKirchhoff equationsalgebro-geometric integration procedureEuler-Arnold equationsGrioli precession

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17) Higher-dimensional generalizations in rigid body dynamics (70E45)

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