| Volume 1, Number 3, 2011, Pages 397-410 DOI：10.11948/2011027 |
| Bifurcation of limit cycles and isochronous center at infinity for a class of differential systems |
| Wentao Huang,Yirong Liu,Weinian Zhang |
| Keywords:Infinity |
| Abstract: |
| In this paper, we study a seventh degree polynomial differential system with full linear terms and cubic terms. The conditions of infinity to be a center and to be a fine focus of the highestorder are given and it is proved that this system has eight limit cycles in the neighborhood of infinity. Moreover, the conditions of infinity to be an isochronous center for a rational system associated the seventh degree polynomial differential system are obtained. |
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