A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS  

作　　者：Tusen HUANG Qi ZHANG 

机构地区：[1]Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China. [2]Department of Mathematics, Nanjing University, Nanjing 210093, China.

出　　处：《Journal of Systems Science & Complexity》2007年第3期461-469,共9页系统科学与复杂性学报（英文版）

基　　金：The work is supported by Zhejiang Provincial Natural Science Foundations(No.Y604359); National Natural Science Foundation of China (No.10371123,10471130).

摘　　要：A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize the corresponding results in [Nonlinearity, 13 （2000）, p.709].

关 键 词：Isolated singular point monodromy singular point characteristic direction return map stability. 

分 类 号：O24[理学—计算数学]