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On the Kowalevski-Goryachev-Chaplygin gyrostat

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Publication:4465733
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DOI10.1088/0305-4470/35/22/103zbMath1058.70008OpenAlexW1987249086MaRDI QIDQ4465733

Andreĭ Vladimirovich Tsyganov

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/35/22/103


zbMATH Keywords

spectral curvedecomposition of Lagrangian submanifold


Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05)


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Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ New variables of separation for particular case of the Kowalevski top ⋮ On the bi-Hamiltonian structure of Bogoyavlensky system on \(\mathrm{so}(4)\) ⋮ Separation of variables for some systems with a fourth-order integral of motion ⋮ The Poisson bracket compatible with the classical reflection equation algebra ⋮ On the generalized Chaplygin system ⋮ Integrable systems on the sphere associated with genus three algebraic curves



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