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两类五次平面多项式系统的中心判定
  • ISSN号：1672-6871
  • 期刊名称：河南科技大学学报(自然科学版)
  • 时间：2012
  • 页码：70-74
  • 分类：O175.12[理学—数学;理学—基础数学]
  • 作者机构：[1]黄淮学院数学系,河南驻马店463000, [2]北京工业大学应用数理学院,北京100124
  • 相关基金：国家自然科学基金项目（11072007,10732020）; 北京市自然科学基金重点项目（1082002）; 驻马店市自然科学基金项目（09806）
  • 相关项目：高维非线性动力系统周期解的研究与应用
作者： 陈莹|彭真|李静|
关键词： 五次平面多项式系统, 中心, 细焦点, Lyapunov量复算法, Maple程序
中文摘要：

Lyapunov量在平面微分系统的定性理论和分岔理论中占有非常重要的地位,它是判断原点是否为细焦点或中心的一种经典手段,也可以用来判断由退化Hopf分岔所产生的极限环个数,与著名的Hilbert第16问题有密切的关系。主要研究两类五次平面多项式系统的中心判定问题。运用Lyapunov量复算法借助于Maple数学程序计算出两类系统在原点的Lyapunov量,得到原点成为中心的判定条件。

同期刊论文项目
高维非线性系统动力学理论及在机械结构中的应用
期刊论文 130 会议论文 62 著作 2
高维非线性动力系统周期解的研究与应用
期刊论文 35 会议论文 2
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期刊信息
  • 《河南科技大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:河南省教育厅
  • 主办单位:河南科技大学
  • 主编：苏娟华
  • 地址：河南省洛阳市开元大道263号
  • 邮编：471023
  • 邮箱：hkdxbz@haust.edu.cn
  • 电话：0379－64231476
  • 国际标准刊号：ISSN：1672-6871
  • 国内统一刊号：ISSN：41-1362/N
  • 邮发代号:36-285
  • 获奖情况:
  • 1999年全国优秀高校自然科学学报及教育部优秀科技...,全国高校自然科学优秀学报,河南省优秀科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,波兰哥白尼索引,德国数学文摘,英国科学文摘数据库,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4775