On the Steklov-Lyapunov case of the rigid body motion
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Publication:1776522
DOI10.1070/RD2004v009n02ABEH000267zbMath1079.70004arXivnlin/0406017MaRDI QIDQ1776522
Publication date: 12 May 2005
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0406017
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Integrable cases of motion in rigid body dynamics (70E40)
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Compatible Lie-Poisson brackets on the Lie algebras \(e(3)\) and \(so(4)\) ⋮ On discretization of the Euler top ⋮ Separation of variables and explicit theta-function solution of the classical Steklov-Lyapunov systems: a geometric and algebraic geometric background ⋮ Integrable systems on the sphere associated with genus three algebraic curves ⋮ Simultaneous separation for the Neumann and Chaplygin systems
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