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
收藏
页码：1833 / 1850
页数：18
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