On natural Poisson bivectors on the sphere
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Publication:3083504
DOI10.1088/1751-8113/44/10/105203zbMath1380.70043arXiv1010.3492OpenAlexW2090004802MaRDI QIDQ3083504
Publication date: 22 March 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3492
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Related Items (8)
Separation of variables for some systems with a fourth-order integral of motion ⋮ Abel's theorem and Bäcklund transformations for the Hamilton-Jacobi equations ⋮ Integrable systems on the sphere associated with genus three algebraic curves ⋮ One invariant measure and different Poisson brackets for two non-holonomic systems ⋮ On one integrable system with a cubic first integral ⋮ The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside ⋮ Simultaneous separation for the Neumann and Chaplygin systems ⋮ Equivalent integrable metrics on the sphere with quartic invariants
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