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生化反应中一类高次多项式微分系统的无穷远奇点分析
引用本文:袁放. 生化反应中一类高次多项式微分系统的无穷远奇点分析[J]. 南京师大学报(自然科学版), 2003, 26(4): 22-29
作者姓名:袁放
作者单位:江苏淮安市广播电视大学,223005,淮安
摘    要:研究了一类来自生化反应的n次多项式微分系统.利用Poincare变换等方法给出了无穷远奇点定性性质,进而又得到了极限环存在的一些条件.

关 键 词:多项式微分系统  无穷远奇点  Poincare变换  极限环
文章编号:1001-4616(2003)04-0022-08
修稿时间:2003-05-17

Qualitative Analysis for Infinit Equilibria of a Polynomial System of High Degree in Biochemical Reactions
Yuan Fang. Qualitative Analysis for Infinit Equilibria of a Polynomial System of High Degree in Biochemical Reactions[J]. Journal of Nanjing Normal University(Natural Science Edition), 2003, 26(4): 22-29
Authors:Yuan Fang
Abstract:The author considered a polynomial differential system of high degree which was given from a general multi-molecular reaction in biochemistry as a theoretical problem of concentration kinetics. Using transformation by Poincare,the author gave qualitative properties of infinite equilibrium,and then analyzed its limit cycle.
Keywords:polynomial system   infinite equilibrium   transformation by Poincare   limit cycle
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