Approximate first integrals of a chaotic hamiltonian system

Unal G., Khalique C. M. , Alisverisci G. F.

QUAESTIONES MATHEMATICAE, cilt.30, ss.483-497, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.2989/16073600709486215
  • Sayfa Sayıları: ss.483-497


Approximate first integrals (conserved quantities) of a Hamiltonian dynamical system with two-degrees of freedom which arises in the modeling of galaxy have been obtained based on the approximate Noether symmetries for the resonance w(1) = w(2). Furthermore, Kolmogorov-Arnold-Moser (KAM) curves have been obtained analytically and they have been compared with the numerical ones on the Poincare surface of section.