Algebraic integrability and generalized symmetries of dynamical systems

Unal G.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 260 Sayı: 5
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0375-9601(99)00531-9
  • Dergi Adı: PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.352-359
  • İstanbul Teknik Üniversitesi Adresli: Hayır

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.