Blow-up method to compute necessary conditions of integrability for planar differential systems

被引：13

作者：

Fercec, Brigita ^{[1
,2
]}

Gine, Jaume ^{[3
]}

机构：

[1] Univ Maribor, Fac Energy Technol, Hocevarjev Trg 1, Krshko 8270, Slovenia

[2] Univ Maribor, Ctr Appl Math & Theoret Phys, Mladinska 3, SI-2000 Maribor, Slovenia

[3] Univ Lleida, Inspires Res Ctr, Dept Matemat, Av Jaume II 69, Lleida 25001, Catalonia, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 358卷

关键词：

Blow-up; Resonant saddle; Saddle constants; Formal first integral; LIENARD SYSTEMS; RESONANT SADDLE;

D O I：

10.1016/j.amc.2019.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a method to compute the necessary conditions of integrability for planar differential systems with a weak saddle at the origin. The method is used to characterize the local analytic integrability for resonant saddles of complex systems of the form (x) over dot = px, and (y) over dot = - y + f (y)x, 0 not equal p is an element of N, with f analytic at the origin and with f (0) = 0. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：16 / 24

页数：9

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