Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Wentao Huang Li Zhang and Huixu Xu
Pages: [201] - [214]
Received Date: March 11, 2008
Submitted by:
In this paper, an indirect method is used to investigate the bifurcations of limit cycles at infinity for a class of seventh-degree polynomial system, in which the problem for bifurcations of limit cycles at infinity is transferred into that at the origin. By the computation of singular point values, the conditions of the origin (correspondingly infinity) to be a center and the highest degree fine focus are derived. Finally, it is showed firstly that a seventh-degree differential system can bifurcate eleven limit cycles at infinity.
limit cycle, infinity, singular point value, polynomial system.
