On the dynamics of the generalized Henon-Heiles of the galactic potential

被引：0
|
作者：
El-Sabaa, F. M. [1 ]
Hosny, M. [1 ]
Abd Elbasit, A. [1 ]
机构：
[1] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 45期
关键词：
Hamilton-Jacobi's equations; bifurcations of Liouville tori; topology of the level sets; momentum maps; periodic solution; elliptic functions; phase portrait; Poincare surface-section; PAINLEVE PROPERTY; PERIODIC-ORBITS; MOTION; NONINTEGRABILITY; STABILITY; SYSTEMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The bifurcation of Liouville tori of a generalized Henon-Heiles System (GHH) are determined. The phase portrait of separation functions of (GHH) are studied, and the classification of the singular points were found. Some figures are presented by using Poincare surface section.
引用
收藏
页码：103 / 121
页数：19
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