Galoisian obstructions to non-Hamiltonian integrability

被引：51
作者：
Ayoul, Michael [1 ]
Zung, Nguyen Tien [1 ]
机构：
[1] Univ Toulouse 3, CNRS, UMR 5219, Inst Math Toulouse, F-31000 Toulouse, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 23-24期
关键词：
SYSTEMS;
D O I：
10.1016/j.crma.2010.10.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the main theorem of Morales, Ramis and Simo (2007) [6] about Galoisian obstructions to meromorphic integrability of Hamiltonian systems can be naturally extended to the non-Hamiltonian case. Namely, if a dynamical system is meromorphically integrable in the non-Hamiltonian sense, then the differential Galois groups of the variational equations (of any order) along its solutions must be virtually Abelian. (C) 2010 Published by Elsevier Masson SAS on behalf of Academie des sciences.
引用
收藏
页码：1323 / 1326
页数：4
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