On the integrability of a three-dimensional cored galactic Hamiltonian

被引：2
|
作者：
Llibre, Jaurne [1 ]
Valls, Claudia [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Lisbon, Inst Super Tecn, Dept Matemat, Lisbon, Portugal
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 41卷
关键词：
Meromorphic first integrals; Three-dimensional cored galactic Hamiltonian; PERIODIC-ORBITS; 1ST INTEGRALS; POTENTIALS; NONEXISTENCE; MECHANICS; SYSTEMS;
D O I：
10.1016/j.aml.2014.10.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize when the three-dimensional cored galactic Hamiltonian system with Hamiltonian H = 1/2(p(x)(2) + p(y)(2) + p(z)(2)/q) + root 1 + x(2) + y(2) + z(2)/q, is completely meromorphically integrable when q is an element of [0.36,1]. The key point for this characterization is to transform the non-polynomial cored Hamiltonian system into a polynomial one. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：23 / 27
页数：5
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