Nilpotent centers of cubic systems

被引：3
|
作者：
Andreev, A. F. [1 ]
Andreeva, I. A. [2 ]
Detchenya, L. V. [3 ]
Makovetskaya, T. V. [4 ]
Sadovskii, A. P. [4 ]
机构：
[1] St Petersburg State Univ, St Petersburg 199034, Russia
[2] Peter Great Polytech Univ, St Petersburg 195251, Russia
[3] Yanka Kupala State Univ Grodno, Grodno 230023, BELARUS
[4] Belarusian State Univ, Minsk 220030, BELARUS
来源：
DIFFERENTIAL EQUATIONS | 2017年 / 53卷 / 08期
关键词：
CENTER-FOCUS PROBLEM;
D O I：
10.1134/S0012266117080018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an explicit form of cubic systems with a nilpotent singular point of the focus or center type at the origin. A method for finding the focus quantities of such systems is indicated. Sufficient conditions for the existence of a nilpotent center for cubic systems are given. Cubic systems reducible to the LiA ' enard system are studied in detail.
引用
收藏
页码：975 / 980
页数：6
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