Generalized center problem and integrability of complex polynomial differential system

GUO Keke; ZHANG Qi

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Generalized center problem and integrability of complex polynomial differential system

更新时间：2023-12-11

- Generalized center problem and integrability of complex polynomial differential system
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 57, Issue 3, Pages: 54-59(2018)
- 作者机构：
  
  中南大学数学与统计学院,湖南,长沙,410083
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2018，
  
  Published Online：25 May 2018，
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GUO Keke, ZHANG Qi. Generalized center problem and integrability of complex polynomial differential system. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(3):54-59(2018)
DOI：

GUO Keke, ZHANG Qi. Generalized center problem and integrability of complex polynomial differential system. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(3):54-59(2018) DOI：

摘要

研究一类广泛的复自治多项式微分系统初等共振奇点的广义中心问题。引入了一种新的方法(积分因子法)来判定任何具有理共振比的共振奇点的广义中心，并得到一个计算鞍点量的递推公式；找到了鞍点量与广义奇点量之间的关系，弥补了肖萍博士论文中的一个缺陷。

Abstract

The generalized center problem of elementary resonant singular point for an extensive class of complex autonomous polynomial differential system in C

is studied. A new method (integrating factor method) is introduced to determine generalized center of resonant singular point for any rational resonance ratio. A recursion formula of calculating saddle point quantities is obtained and the relation of the saddle point quantity and the generalized singular point quantity is given. A gap in Doctoral thesis of Ping Xiao is fixed.

关键词

共振奇点广义中心积分因子广义奇点量

Keywords

resonant singular pointgeneralized centerintegrating factorgeneralized singular point quantity

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College of Mathematics and Physics, Suzhou University of Science and Technology

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