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Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities

被引：8
|
作者：
Gine, Jaume [1 ]
Valls, Claudia [2 ]
机构：
[1] Univ Lleida, Dept Matemat, Lleida 25001, Catalonia, Spain
[2] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
来源：
NONLINEAR DYNAMICS | 2015年 / 81卷 / 04期
关键词：
Integrability; Resonant saddle; Quintic systems; SYSTEMS; CENTERS;
D O I：
10.1007/s11071-015-2122-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this work we complete the integrability conditions (i.e., conditions for the existence of a local analytic first integral) for a family of a resonant saddle perturbed with homogeneous quintic nonlinearities studied in a previous work. In order to obtain the necessary conditions we use modular arithmetic computations.
引用
收藏
页码：2021 / 2030
页数：10
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