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[en] The theory of Hamiltonian and quasi-Hamiltonian systems with respect to Nambu-Poisson structures is studied. It is proved that if a dynamical system is endowed with certain properties related to the theory of symmetries then it can be considered as a quasi-Hamiltonian (or Hamiltonian) system with respect to an appropriate Nambu-Poisson structure. Several examples of this construction are presented. These examples are related to integrability and also to superintegrability
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121; 
; v. 41(33); [11 p.]
; v. 41(33); [11 p.]