On a family of integrable systems on S2 with a cubic integral of motion
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Publication:4654937
DOI10.1088/0305-4470/38/4/011zbMath1076.37049arXivnlin/0410014OpenAlexW2044834986MaRDI QIDQ4654937
Publication date: 10 March 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0410014
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Integrable cases of motion in rigid body dynamics (70E40)
Related Items (7)
Integrable 2D time-irreversible systems with a cubic second integral ⋮ Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ On the bi-Hamiltonian structure of Bogoyavlensky system on \(\mathrm{so}(4)\) ⋮ Abel's theorem and Bäcklund transformations for the Hamilton-Jacobi equations ⋮ Integrable systems on the sphere associated with genus three algebraic curves ⋮ On a class of integrable systems with a cubic first integral ⋮ Generalized Stäckel systems
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