Algebraic integrability and generalized symmetries of dynamical systems


Unal G.

PHYSICS LETTERS A, cilt.260, sa.5, ss.352-359, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 260 Konu: 5
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0375-9601(99)00531-9
  • Dergi Adı: PHYSICS LETTERS A
  • Sayfa Sayıları: ss.352-359

Özet

It has been shown that when an n-dimensional dynamical system admits a generalized symmetry vector field which involves a divergence-free Liouville vector field, then it possesses n - 1 independent first integrals (i.e., it is algebraically integrable). Furthermore, the Liouville vector field can be employed for the classification of algebraically integrable dynamical systems. The results have been discussed on examples which arise in physics. (C) 1999 Elsevier Science B.V. All rights reserved.