Approximate first integrals of a chaotic hamiltonian system


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

QUAESTIONES MATHEMATICAE, vol.30, no.4, pp.483-497, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.2989/16073600709486215
  • Title of Journal : QUAESTIONES MATHEMATICAE
  • Page Numbers: pp.483-497

Abstract

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.