Approximate first integrals of a chaotic hamiltonian system

被引：2

作者：

Unal, G. ^{[1
]}

Khalique, C. M. ^{[2
]}

Alisverisci, G. F. ^{[3
]}

机构：

[1] Yeditepe Univ, Dept Banking & Finance, Istanbul, Turkey

[2] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa

[3] Yildiz Tech Univ, Dept Mech Engn, TR-34349 Istanbul, Turkey

来源：

QUAESTIONES MATHEMATICAE | 2007年 / 30卷 / 04期

关键词：

hamiltonian dynamical systems; approximate Noether symmetries; resonances; Noether's theorem; Poincare section;

D O I：

10.2989/16073600709486215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：483 / 497

页数：15

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