On bi-Hamiltonian structure of some superintegrable systems

Abstract

We discuss bi-Hamiltonian structures for integrable and superintegrable Hamiltonian system on the list of symplectic four-dimensional real Lie groups are classified by G. Ovando. In addition, we creat corresponding control matrix for obtained bi-Hamiltonian structures.

arXiv comment8 pages

References in corpus (2)

• On bi-hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
• On bi-hamiltonian structure of some integrable systems on so*(4)