Local Darboux first integrals of analytic differential systems

被引：7
|
作者：
Llibre, Jaume [1 ]
Walcher, Sebastian [2 ]
Zhang, Xiang [3 ,4 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Rhein Westfal TH Aachen, Lehrstuhl Math A, D-52056 Aachen, Germany
[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[4] Shanghai Jiao Tong Univ, MOE LSC, Shanghai 200240, Peoples R China
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2014年 / 138卷 / 01期
关键词：
Polynomial differential system; Analytic differential system; Local Darboux first integral; Poincare-Dulac normal form; NORMALIZATION; INTEGRABILITY;
D O I：
10.1016/j.bulsci.2013.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss local and formal Darboux first integrals of analytic differential systems, using the theory of Poincare-Dulac normal forms, and we study the effect of local Darboux integrability on analytic normalization. Moreover we determine local restrictions on classical Darboux integrability of polynomial systems. (C) 2013 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：71 / 88
页数：18
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