| 2n-1次Hamilton系统的临界周期分岔 |
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| 引用本文： | 陈兴武,李燕,邹兰.2n-1次Hamilton系统的临界周期分岔[J].四川大学学报(自然科学版),2009,46(1):11-14. |
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| 作者姓名： | 陈兴武 李燕 邹兰 |
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| 作者单位： | 1. 四川大学数学学院,成都,610064
2. 西华大学数学与计算机学院,成都,610039 |
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| 基金项目： | 四川大学青年基金(07071) |
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| 摘 要： | 作者研究了一类只含有奇数次项的Hamilton系统的临界周期分岔.作者首先确定了细中心的阶数，然后证明了至多产生m-1个局部临界周期，并且最大个数m-1可达.
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| 关 键 词： | Hamilton系统 细中心 等时中心 多项式 临界周期 |
Bifurcation of critical periods for planar Hamiltonian systems of degree 2n-1 |
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| CHEN Xing-Wu,LI Yan,ZOU Lan.Bifurcation of critical periods for planar Hamiltonian systems of degree 2n-1[J].Journal of Sichuan University (Natural Science Edition),2009,46(1):11-14. |
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| Authors: | CHEN Xing-Wu LI Yan ZOU Lan |
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| Institution: | School of Mathematics, Sichuan University;School of Mathematics and Computer, Xihua University;School of Mathematics, Sichuan University |
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| Abstract: | The orders of weak centers are determined for a family of planar Hamiltonian systems of degree 2n-1 where only odd degree nonlinearities are included and the lowest degree is 2m-1. Moreover, local bifurcation of critical periods is studied and it is proved that at most m-1 local critical periods can be produced and the maximum number is achievable. |
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| Keywords: | Hamiltonian system weak center isochronous center polynomial critical period |
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