Periodic solutions and approximate symmetries

Unal G.

NONLINEAR DYNAMICS, cilt.22, sa.1, ss.111-120, 2000 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1023/a:1008334314448
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.111-120
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Assuming that a dynamical system (DS) has a periodic solution with period T in the neighborhood of an equilibrium, a new DS can be obtained which governs approximately the motion of trajectories in the neighborhood of the periodic orbit. Approximate symmetries and first integrals have been discussed for this DS. The results have been demonstrated on the Helmholtz oscillator.