A completely integrable Hamiltonian motion on the surface of a sphere

DOI10.1088/0305-4470/31/6/009zbMath0952.34040OpenAlexW1999227939MaRDI QIDQ3839339

B. Gaffet

Publication date: 28 December 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/6/009

zbMATH Keywords

elliptic functionspermutation symmetryintegrable Hamiltonianspinning ellipsoidal gas cloud

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Gas dynamics (general theory) (76N15) 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) Qualitative investigation and simulation of ordinary differential equation models (34C60) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (3)

Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ Atlas of two-dimensional irreversible conservative Lagrangian mechanical systems with a second quadratic integral ⋮ Expanding gas clouds of ellipsoidal shape -- the solutions of minimal energy

This page was built for publication: A completely integrable Hamiltonian motion on the surface of a sphere