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

页码：975 / 980

页数：6

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