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The Number and Distributions of Limit Cycles of a Cubic Hamiltonian System with Z_2-symmetry Perturbation
  • ISSN号：1002-0462
  • 期刊名称：《数学季刊：英文版》
  • 时间：0
  • 分类：O175.12[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematical Sciences,Xuchang University,Xuchang 461000,China
  • 相关基金：Supported by the Natural Science Foundation of China（10802043 10826092） Acknowledgements We are grateful to Prof Li Ji-bin for his kind help and the referees＇ valuable suggestions.
作者： ZHOU Hong-xian ZHANG Yan[1]
关键词： 限制周期, 分叉, 察觉功能, Hamiltonian, 系统, limit cycles, bifurcation, detection functions, Hamiltonian system
中文摘要：

这份报纸在 quintic 不安下面涉及一个立方的 Z2 对称 Hamiltonian 系统的限制周期的数字和分布。由使用微分方程，动态系统的分叉理论和察觉功能的方法的质的分析，我们获得那这个系统存在有分发 C91 的至少 14 个限制周期()[C11 + 2 (C23 () 2C21 )] 。

英文摘要：

This paper is concerned with the number and distributions of limit cycles of a cubic Z2-symmetry Hamiltonian system under quintic perturbation.By using qualitative analysis of differential equation,bifurcation theory of dynamical systems and the method of detection function,we obtain that this system exists at least 14 limit cycles with the distribution C91  [C11 ＋ 2（C32 2C12）].

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期刊信息
  • 《数学季刊：英文版》
  • 北大核心期刊（2004版）
  • 主管单位:
  • 主办单位:河南大学
  • 主编：胡和生 林群
  • 地址：河南省开封市明伦街85号河南大学
  • 邮编：475001
  • 邮箱：
  • 电话：0378-3881698
  • 国际标准刊号：ISSN：1002-0462
  • 国内统一刊号：ISSN：41-1102/O1
  • 邮发代号:36-170
  • 获奖情况:
  • 1998年河南省优秀科技期刊二等奖. 2000年河南省优...
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  • 被引量:468