Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree-2

被引：4

作者：

Llibre, Jaume ^{[1
]}

Mahdi, Adam ^{[2
,3
]}

Valls, Claudia ^{[4
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Univ N Carolina, Dept Math, Charlotte, NC 28223 USA

[3] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[4] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

来源：

PHYSICS LETTERS A | 2011年 / 375卷 / 18期

关键词：

Natural Hamiltonian systems with; 2-degrees of freedom; Homogeneous polynomial potential; INTEGRALS; SEARCH;

D O I：

10.1016/j.physleta.2011.03.042

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H = 1/2 Sigma P-2(i)=1(i)2 + V (q(1), q(2)), having homogeneous potential V(q(1),q(2)) of degree -2. (C) 2011 Elsevier BM. All rights reserved.

引用

页码：1845 / 1849

页数：5

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