Approximate first integrals of a chaotic hamiltonian system
QUAESTIONES MATHEMATICAE, cilt.30, sa.4, ss.483-497, 2007 (SCI-Expanded, Scopus)
- 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.