Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4

被引：8

作者：

Llibre, Jaume ^{[1
]}

Mahdi, Adam ^{[2
,3
]}

Valls, Claudia ^{[4
]}

机构：

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

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 01期

关键词：

PAINLEVE PROPERTY; SEARCH;

D O I：

10.1063/1.3544473

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the analytic case we prove the conjecture of Maciejewski and Przybylska [J. Math. Phys. 46(6), 062901 (2005)] regarding Hamiltonian systems with a homogeneous polynomial potential of degree 4. The proof of the conjecture completes the characterization of all the analytic integrable Hamiltonian system with a homogeneous polynomial potential of degree 4. (C) 2011 American Institute of Physics. [doi:10.1063/1.3544473]

引用

页数：9

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