| Small-amplitude limit cycles of polynomial Liénard systems |
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| 作者姓名： | HAN MaoAn TIAN Yun YU Pei |
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| 作者单位： | Department of Mathematics,Shanghai Normal University;Department of Applied Mathematics,The University of Western Ontario |
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| 基金项目： | supported by National Natural Science Foundation of China (Grant No.11271261) |
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| 摘 要： | In this paper,we study the number of limit cycles appeared in Hopf bifurcations of a Linard system with multiple parameters.As an application to some polynomial Li’enard systems of the form x=y,y=gm(x)-fn(x)y,we obtain a new lower bound of maximal number of limit cycles which appear in Hopf bifurcation for arbitrary degrees m and n.
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| 关 键 词： | limit cycle Li’enard system Hopf bifurcation |
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