Stability of stationary rotations of multidimensional rigid body

DOI10.3103/S002713221301018XzbMath1268.70007OpenAlexW1976593245MaRDI QIDQ355354

A. M. Izosimov

Publication date: 24 July 2013

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

Full work available at URL: https://doi.org/10.3103/s002713221301018x

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Stability problems in rigid body dynamics (70E50) Higher-dimensional generalizations in rigid body dynamics (70E45)

Cites Work

• Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body
• Bi-Hamiltonian structures and singularities of integrable systems
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• ON THE STABILITY PROBLEM FOR THE $\mathfrak{so}(5)$ FREE RIGID BODY
• Liouville integrability of Hamiltonian systems on Lie algebras
• COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
• Stability Analysis of Some Integrable Euler Equations for SO(n)
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