Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 419-425.

• Articles • Previous Articles     Next Articles

A Global Topological Structure of a Class of Cubic Quasi-Homogeneous Vector Fields

 HUANG Gai-Gai1, FENG Guang-Ting2, ZHANG Xing-An1   

  1. 1.School of Mathematics and Statistics, Central China Normal University, Wuhan 430079|
    2.School of Mathematics and Statistics, Hubei University of Education, Wuhan 430205
  • Received:2012-10-30 Revised:2013-11-18 Online:2014-04-25 Published:2014-04-25
  • Supported by:

    国家自然科学基金(11071275)、中央高校专项基金(CCNU10B01005)和湖北省自然科学基金(2013CFB013)资助.

Abstract:

In this paper,we use the idea of the central projection transformation to prove that the geometric properties of a class of cubic vector field depends on its tangent vector and induced vector field. We investigate its topological structures and classified, and we obtain 25 types of different topological classification of this vector field.

Key words: Quasi-homogeneous vector field, Tangent vector field, Invariant line, Global topological classification

CLC Number: 

  • 34C05
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