On the equivalence of singular point quantities and the integrability of a fine critical singular point

被引：0

作者：

Zhang, Qi ^{[1
]}

Liu, Yirong ^{[1
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 05期

关键词：

Equivalence; Integrability; Fine critical singular point; Singular point quantities; The origin; SYSTEMS; CONSTANTS; CENTERS;

D O I：

10.1016/j.nonrwa.2011.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the equivalence of singular point quantities and the integrability of a fine critical singular point are discussed. For an extensive class of complex autonomous differential systems, the theoretical basis for the methods of using formal series and integrating factors to calculate the singular point quantities for the origin (a fine critical singular point) and judge its integrability is obtained. Two recursion formulas, which are much simpler than focal values for computation because the operation is rational, for computing singular point quantities are introduced. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2794 / 2801

页数：8

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