On a class of integrable systems with a quartic first integral
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Publication:381026
DOI10.1134/S1560354713040060zbMath1274.70024arXiv1304.5859MaRDI QIDQ381026
Publication date: 15 November 2013
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.5859
Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20) Manifolds of metrics (especially Riemannian) (58D17)
Related Items (8)
Bäcklund transformations for the nonholonomic Veselova system ⋮ Integrable discretization and deformation of the nonholonomic Chaplygin ball ⋮ Integrability analysis of natural Hamiltonian systems in curved spaces ⋮ Explicit metrics for a class of two-dimensional cubically superintegrable systems ⋮ Generalizations of the Kovalevskaya case and quaternions ⋮ On two-dimensional integrable models with a cubic or quartic integral of motion ⋮ Global structure and geodesics for Koenigs superintegrable systems ⋮ On the Chaplygin system on the sphere with velocity dependent potential
Cites Work
- On a class of integrable systems with a cubic first integral
- A theory of exact and approximate configurational invariants
- New families of conservative systems on \(S^2\) possessing an integral of fourth degree in momenta
- New examples of integrable conservative systems on \(S^2\) and the case of Goryachev-Chaplygin
- On the case of Kovalevskaya and new examples of integrable conservative systems on \(S^2\)
- A new integrable system onS2with the second integral quartic in the momenta
- The master integrable two-dimensional system with a quartic second integral
- Two-dimensional geodesic flows having first integrals of higher degree
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