On the integrability and stability of stationary solutions of the Goryachev-Sretensky gyrostat

DOI10.33048/sibjim.2023.26.305MaRDI QIDQ6586459

Edward Ivanovich Semenov, A. A. Kosov

Publication date: 13 August 2024

Published in: Sibirskiĭ Zhurnal Industrial'noĭ Matematiki (Search for Journal in Brave)

zbMATH Keywords

stabilitystationary solutionsquadrature integrationGoryachev---Sretensky Gyrostat

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05)

Cites Work

• On first integrals and stability of stationary motions of gyrostat
• Precession of the Kovalevskaya and Goryachev-Chaplygin tops
• Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
• Dynamics of rigid body.
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