A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS

被引：12

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, Avda Jaume 2 69, Lleida 25001, Catalonia, Spain

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 06期

关键词：

Saddle constants; formal first integral; invariant analytic curve; RESONANT CENTER PROBLEM; VOLTERRA; LINEARIZABILITY; POINTS;

D O I：

10.11948/2018.1833

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we provide an effective method to prove the formal integrability of the resonant saddles. The method is based on the use of a blow-up and the resolution of a recurrence differential equation using induction. Using the method some open integrability problems for certain resonant saddles are solved.

引用

页码：1833 / 1850

页数：18

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