Periodic solutions and approximate symmetries


Unal G.

NONLINEAR DYNAMICS, cilt.22, ss.111-120, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 22 Konu: 1
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1023/a:1008334314448
  • Dergi Adı: NONLINEAR DYNAMICS
  • Sayfa Sayıları: ss.111-120

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.