Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries

José F. Cariñena, Partha Guha, Manuel F. Rañada

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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.

Original languageBritish English
Article number335209
JournalJournal of Physics A: Mathematical and Theoretical
Issue number33
StatePublished - 22 Aug 2008


Dive into the research topics of 'Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries'. Together they form a unique fingerprint.

Cite this