Limit Cycle Problem of Quadratic System (Ⅲ)n=0
Received:February 20, 2004  
Key Word: quadratic system   Hopf bifurcation   limit cycle.  
Fund ProjectL:
Author NameAffiliation
LU Bing-xin School of Mathematics and Computer Science
Nanjing Normal University
Jiangsu
China 
LUO Ding-jun School of Mathematics and Computer Science
Nanjing Normal University
Jiangsu
China 
Hits: 2383
Download times: 2055
Abstract:
      The limit cycle problem of quadratic system $($Ⅲ$)_{n=0}$ is studied in this paper. By using Hopf bifurcation, the parameter regions for which limit cycles exist are obtained, and for the rest regions of parameters, the nonexistance of limit cycles is proved by using qualitative methods. A positive answer for an important conjecture in [2, \S9] is also given and it is shown that our results are more complete than that obtained in paper [5].
Citation:
DOI:10.3770/j.issn:1000-341X.2006.01.019
View Full Text  View/Add Comment  Download reader