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On bi-Hamiltonian structure of some superintegrable systems

Mathematical Physics 2017-12-29 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1712.09397,
  title  = {On bi-Hamiltonian structure of some superintegrable systems},
  author = {Gh. Haghighatdoost and S. Abdolhadi-zangakani},
  journal= {arXiv preprint arXiv:1712.09397},
  year   = {2017}
}

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8 pages