Approximate first integrals of a galaxy model

Unal G., Gorali G.

NONLINEAR DYNAMICS, cilt.28, sa.2, ss.195-211, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 2
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1023/a:1015004915682
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.195-211
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

First-order approximate first integrals (conserved quantities) of a Hamiltonian dynamical system with two degrees of freedom which arises in the modeling of central part of a deformed galaxy [1] have been obtained based on the approximate Noether symmetries for resonances omega(1)=omega(2), omega(1)=2omega(2) and 2omega(1)=3omega(2). Furthermore, KAM curves have been obtained analytically and they have been compared with the numerical ones on the Poincare surface of section.