ON THE NUMBER OF LIMIT CYCLES OF A POLYNOMIAL DIFFERENTIAL SYSTEM

ON THE NUMBER OF LIMIT CYCLES OF A POLYNOMIAL DIFFERENTIAL SYSTEM

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摘要 In this paper, we employ qualitative analysis and methods of bifurcation theory to study the maximum number of limit cycles for a polynomial system with center in global bifurcation. In this paper, we employ qualitative analysis and methods of bifurcation theory to study the maximum number of limit cycles for a polynomial system with center in global bifurcation.

作者 Peipei Zuo, Yepeng Xing (Dept. of Math., Shanghai Normal University, Shanghai 200234)

出处《Annals of Differential Equations》 2011年第2期276-282,共7页 微分方程年刊（英文版）

基金 supported by Foundation of Shanghai Municipal Education Committee (10YZ72)

关键词 limit cycles global bifurcation Melnikov function perturbed system limit cycles global bifurcation Melnikov function perturbed system

分类号 O175 [理学—基础数学]

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参考文献7

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二级参考文献1

1韩茂安，Acta Math Sin New Ser，1996年

共引文献1

1Zhao Yong Han Maoan Yang Junmin.LIMIT CYCLES OF A QUADRATIC HAMILTONIAN SYSTEM BY CUBIC PERTURBATIONS[J].Annals of Differential Equations,2007,23(4):593-602.

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Annals of Differential Equations

2011年第2期

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ON THE NUMBER OF LIMIT CYCLES OF A POLYNOMIAL DIFFERENTIAL SYSTEM

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