|本期目录/Table of Contents|

[1]高金武,黄土森. 一类平面系统的单值奇点的特征[J].浙江理工大学学报,2012,29(05):702-708.
　GAO Jin wu,HUANG Tu sen. Characterization of the Monodromic Singular Point ofa Class of Planar Systems[J].Journal of Zhejiang Sci-Tech University,2012,29(05):702-708.
点击复制

 一类平面系统的单值奇点的特征()
分享到：

浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第29卷
期数:
2012年05期
页码:
702-708
栏目:
出版日期:
2012-10-28

文章信息/Info

Title:
 Characterization of the Monodromic Singular Point ofa Class of Planar Systems
文章编号:
16733851 (2012) 05070207
作者:
 高金武;  黄土森
 浙江理工大学理学院， 杭州 310018
Author(s):
 GAO Jinwu;  HUANG Tusen
 School of Sciences, Zhejiang SciTech University, Hangzhou 310018, China
关键词:
 ; 单值性问题;  特征方向;  blowup技巧;  奇点的分类定理
分类号:
O175.14
文献标志码:
A
摘要:
     考虑平面上由两个齐次多项式的和所定义的微分系统，并且假设原点是这类微分系统的孤立退化奇点，给出了这类系统的奇点是单值的一个充分必要条件，它推广了文献［1］中的相应结论。

参考文献/References:

 ［1］ Gasull A, Llibre J, Manosa V, et al. The focuscentre problem for a type of degenerate system［J］. Nonlinearity, 2000, 13: 699729.
［2］ Algaba A, Garcia C, Reyes M. Characterization of a monodromic singular point of a planar vector field［J］. Nonlinear Analysis, 2011, 74(16): 54025414.
［3］ 陈兰荪, 王明淑. 二次系统极限环的相对位置与个数［J］. 数学学报, 1979, 22(6):751758.
［4］ 张芷芬, 丁同仁, 黄文灶, 等. 微分方程定性理论［M］. 北京: 科学出版社, 1985.
［5］ Medvedeva N B. The first focus quantity of a complex monodromic singular point［J］. Journal of Mathematical Sciences, 1990, 50(1):14211436.
［6］ Dumortier F. Singularities of vector fields in the plane［J］. Journal of Differential Equations, 1977, 23(1): 53106.
［7］ Dumortier F, Llibre J, Artes J. Qualitative Theory of Planar Differential Systems［M］. Berlin: Springer, 2006.

相似文献/References:

[1]陈智杰a,赵晓丽a,徐畅b,等. 有机颜料微胶囊在涂料染色中的应用及其染色效果分析[J].浙江理工大学学报,2013,30(01):1.
　CHEN Zhi jiea,ZHAO Xiao lia,XU Changb,et al. Application of Organic Pigment Microcapsule in Pigment Dyeingand Its Dyeing Results[J].Journal of Zhejiang Sci-Tech University,2013,30(05):1.
[2]詹永娟,谢维斌,姜晓云,等. 织物液态水传递性能的自动检测技术及应用[J].浙江理工大学学报,2013,30(01):6.
　ZHAN Yong juan,XIE Wei bin,JIANG Xiao yun,et al. Technology and Application of the Automatic Detection inTesting Liquid Transport Properties of Textiles[J].Journal of Zhejiang Sci-Tech University,2013,30(05):6.
[3]孙麒. 基于极大似然估计的织物图像分割[J].浙江理工大学学报,2013,30(01):12.
　SUN Qi. Textile Image Segmentation Based on theMaximum Likelihood Algorithm[J].Journal of Zhejiang Sci-Tech University,2013,30(05):12.
[4]巫静a,田彦杰b,汪澜a,等. 基于SVM理论的涤纶织物分散染料上染率模型研究[J].浙江理工大学学报,2013,30(01):21.
　WU Jinga,TIAN Yan jieb,WANG Lana,et al. Research on Modeling of DyeUptake Rate for Disperse Dyes onPolyester Fibers Based on SVM[J].Journal of Zhejiang Sci-Tech University,2013,30(05):21.
[5]周昊,徐英莲,齐素梅.微孔结构改性涤纶/棉混纺针织物服用性能的研究[J].浙江理工大学学报,2013,30(01):21.
　ZHAO Hao,XU Ying lian,QI Su mei. Research on Using Knitted Blend Fabric of Modified Polyesterby Cellular Structure and Cotton for Wearing[J].Journal of Zhejiang Sci-Tech University,2013,30(05):21.
[6]孙佳英,李艳清,章斐燕,等. 纺织结构复合材料铺层顺序设计与力学性能分析[J].浙江理工大学学报,2013,30(01):27.
　SUN Jia ying,LI Yan qing,ZHANG Fei yan,et al. Study on Layer Sequence Design and Mechanical Propertiesof Textile Structure Composites[J].Journal of Zhejiang Sci-Tech University,2013,30(05):27.
[7]丁源维,王騊,姚菊明,等. 静电纺制备TiO2/PVA复合纳米纤维及其光催化性能研究[J].浙江理工大学学报,2013,30(01):31.
　DING Yuan wei,WANG Tao,YAO Ju ming,et al. Photocatalytic Performance Investigation of TiO2/PVANanofibers Prepared by Electrospinning[J].Journal of Zhejiang Sci-Tech University,2013,30(05):31.
[8]章梦洁,伍仲,方园. 涤棉混纺织物阻燃性能的实验分析[J].浙江理工大学学报,2013,30(01):36.
　ZHANG Meng jie,WU Zhong,FANG Yang. Experimental Study on the PolyesterCotton BlendedFabrics Flame Retardancy[J].Journal of Zhejiang Sci-Tech University,2013,30(05):36.
[9]胡觉亮a,孔云鹏b,韩曙光a,等. 基于随机需求的服装供应链回购契约研究[J].浙江理工大学学报,2013,30(01):40.
　HU Jue lianga,KONG Yun pengb,HAN Shu guanga,et al. Study on Repurchase Contract in a Fashion Chainwith the Stochastic Demand[J].Journal of Zhejiang Sci-Tech University,2013,30(05):40.
[10]毛雯,阎玉秀. 针织服装供应商评价指标体系构建与权重确定[J].浙江理工大学学报,2013,30(01):46.
　MAO Wen,YAN Yu xiu. Building Evaluation Index System for Knitting Clothing Suppliersand Determining the Weight[J].Journal of Zhejiang Sci-Tech University,2013,30(05):46.

备注/Memo

备注/Memo:
 收稿日期： 2012-02-27
基金项目： 国家自然科学基金项目（10871181，11101371）
作者简介： 高金武（1987-），男，山西阳泉人，硕士研究生，主要从事微分方程与动力系统的研究。
更新日期/Last Update: