Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1669-1673.

• Articles • Previous Articles     Next Articles

Uniqueness and Bifurcation of Limit Cycles for a Class of Polynomical System

 JIN Shan1, LU Shi-Ping2   

  1. 1.Qidong Middle School of Jiangsu Province, Jiangsu Qidong 226200|
    2.Nanjin University of Infomation Science and Technology, Nanjin 210044
  • Received:2008-11-16 Revised:2010-10-19 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    国家自然科学基金(10371006)资助

Abstract:

In this paper, a class of polynomical systems: dx/dt=-y+δ x+lx2+mxy+ax3, dy/dt=x(1+b1y+b2y2+… +bnxn) is studied. It gives the succesive focal values, and proves that the system has at most one limit cycle when δma=0. 

Key words: Polynomical system, Limit cycle, Uniqueness, Bifurcation

CLC Number: 

  • 34C05
Trendmd