一类七次系统幂零奇点的中心判定 |
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引用本文: | 卜珏萍,陶有田.一类七次系统幂零奇点的中心判定[J].巢湖学院学报,2015(6):7-9. |
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作者姓名: | 卜珏萍 陶有田 |
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作者单位: | 巢湖学院应用数学学院,安徽 巢湖,238000 |
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基金项目: | 巢湖学院院级自然科学研究项目,巢湖学院院级自然科学研究项目,安徽省高校优秀青年人才支持计划重点项目 |
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摘 要: | 研究了一类七次系统三次幂零奇点的中心判定问题. 利用Mathematica软件进行计算并化简,推导出该七次微分系统原点的前9个拟Lyapunov常数,并在此基础上进一步分析讨论,从而得出原点成为中心的充要条件.
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关 键 词: | 七次系统 幂零奇点 中心 拟Lyapunov常数 |
ON THE CRITERION OF THE CENTER FOR NILPOTENT SINGULAR POINTS IN A CLASS OF SEVEN-ORDER SYSTEM |
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Abstract: | The criterion of the center for three-order nilpotent singular points in a class of seven-order system is studied in this paper. The software, Mathematica, is used to calculate and simplify to derive the first nine quasi-Lyapunov constants of the ori-gin of this differential system. Based on this, we have further discussion and analysis to obtain the necessary and sufficient conditions which make the origin center. |
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Keywords: | seven-order system Nilpotent singular point center quasi-Lyapunov constant |
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