On one integrable system with a cubic first integral

Abstract

Recently one integrable model with a cubic first integral of motion has been studied by Valent using some special coordinate system. We describe the bi-Hamiltonian structures and variables of separation for this system.

LaTeX with AMS fonts, 9 pages

References in corpus (4)

• On natural Poisson bivectors on the sphere
• On bi-integrable natural Hamiltonian systems on the Riemannian manifolds
• Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion
• Separation of variables for the generalized Henon-Heiles system and system with quartic potential

Cited by in corpus (2)

• Hamiltonization and separation of variables for Chaplygin ball on a rotating plane
• Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion