Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630424 | Applied Mathematics and Computation | 2011 | 11 Pages |
Abstract
In this paper, the problem of center conditions and bifurcation of limit cycles at the infinity for a class of cubic systems are investigated. The method is based on a homeomorphic transformation of the infinity into the origin, the first 21 singular point quantities are obtained by computer algebra system Mathematica, the conditions of the origin to be a center and a 21st order fine focus are derived, respectively. Correspondingly, we construct a cubic system which can bifurcate seven limit cycles from the infinity by a small perturbation of parameters. At the end, we study the isochronous center conditions at the infinity for the cubic system.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lina Zhang, Yirong Liu, Xuejiao Jiang,