| Volume 3, Number 3, 2013, Pages 291-300 DOI：10.11948/2013021 |
| The shape of limit cycles for a class of quintic polynomial differential systems |
| Xuemei Wei,Shuliang Shui |
| Keywords:Limit cycles |
| Abstract: |
| We consider the problem of finding limit cycles for a class of quintic polynomial differential systems and their global shape in the plane. An answer to this problem can be given using the averaging theory. More precisely, we analyze the global shape of the limit cycles which bifurcate from a Hopf bifurcation and periodic orbits of the linear center ẋ = −y, ẏ = x, respectively. |
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