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一类原点为幂零奇点的七次系统的中心判定
引用本文:赵倩倩.一类原点为幂零奇点的七次系统的中心判定[J].科技信息,2012(3):301-302.
作者姓名:赵倩倩
作者单位:湖南科技学院数学与计算科学系,湖南永州425100
摘    要:研究一类原点为幂零奇点的七次系统的中心判定问题。在计算机上用Mathematica推导出该七次系统原点的前9个拟Lyapunov常数,进而推导出原点成为中心的条件。

关 键 词:七次系统  幂零奇点  拟Lyapunov常数  中心  原点

Criterion of Center Bifurcation for A Class of Special Cubic System in Which Origin is Nilpotent Singular Point
ZHAO Qian-qian.Criterion of Center Bifurcation for A Class of Special Cubic System in Which Origin is Nilpotent Singular Point[J].Science,2012(3):301-302.
Authors:ZHAO Qian-qian
Institution:ZHAO Qian-qian (Institute of Mathematical Science and Computing Technique, Hunan University of Science and Engineering, Yongzhou Hunan, 425100)
Abstract:A class of cubic differential system in which origin is nilpotent singular point is studied in this paper. Using computer system- Mathematica, the first nine quasi-Lyapunov constant of the system are given, from which the conditions for origin to be a center.
Keywords:Cubic system  Nilpotent singular point  Quasi-lyapunov constant  Center
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