Symmetries, integrating factors and Nambu mechanics


Unal G.

PHYSICS LETTERS A, cilt.223, ss.355-358, 1996 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 223 Konu: 5
  • Basım Tarihi: 1996
  • Doi Numarası: 10.1016/s0375-9601(96)00771-2
  • Dergi Adı: PHYSICS LETTERS A
  • Sayfa Sayıları: ss.355-358

Özet

We show that if an n-dimensional autonomous dynamical system (DS) with a vector field (VF) which has constant divergence possesses n - 1 independent first integrals, then it admits a symmetry VF which involves Nambu mechanics (NM). If the DS is conservative, then the Nambu VF happens to be a symmetry VF of the DS. We also show that the integrating factors can be constructed via NM. We illustrate our results on the Lotka-Volterra DS.