生化反应中一类高次多项式微分系统的无穷远奇点分析  

Qualitative Analysis for Infinit Equilibria of a Polynomial System of High Degree in Biochemical Reactions

作　　者：袁放[1] 

机构地区：[1]江苏淮安市广播电视大学,淮安223005

出　　处：《南京师大学报（自然科学版）》2003年第4期22-29,共8页Journal of Nanjing Normal University(Natural Science Edition)

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 .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.

关 键 词：生物化学反应 高次多项式微分系统 无穷远奇点 Poincare变换 极限环 

分 类 号：O175.12[理学—数学] Q5[理学—基础数学]