Volume 9, Number 6, 2019, Pages 2464-2481 DOI:10.11948/20190221 |
On the number of limit cycles for a quintic Li\""{e}nard system under polynomial perturbations |
Linlin Li,Junmin Yang |
Keywords:Limit cycle, bifurcation, Li\""{e}nard system, Melnikov function. |
Abstract: |
In this paper, we mainly study the number of limit cycles for a quintic Li\""{e}nard system under polynomial perturbations. In some cases, we give new estimations for the lower bound of the maximal number of limit cycles. |
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