The cyclicity of period annuli of some classes of reversible quadratic systems
The cyclicity of period annuli of some classes of reversible quadratic systems
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DOI：
10.3934/dcds.2006.16.157
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发表时间：
2006-06
影响因子：
1.1
通讯作者：
G. Chen;Chengzhi Li;C. Liu;J. Llibre
中科院分区：
文献类型：
--
作者：
G. Chen;Chengzhi Li;C. Liu;J. Llibre
研究了二次摄动下某些类可逆非哈密顿二次系统的周期环的周期性。结合论证原理法和质心曲线法证明了相关的阿贝尔积分最多有两个零。
The cyclicity of period annuli of some classes of reversible and non-Hamiltonian quadratic systems under quadratic perturbations are studied. The argument principle method and the centroid curve method are combined to prove that the related Abelian integral has at most two zeros.