Approximate first integrals of a chaotic hamiltonian system

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

QUAESTIONES MATHEMATICAE, cilt.30, sa.4, ss.483-497, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.2989/16073600709486215
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.483-497
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.