| 在生化反应中一类高次多项式微分系统的定性分析 |
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| 引用本文： | 燕锐.在生化反应中一类高次多项式微分系统的定性分析[J].四川大学学报(自然科学版),2001,38(2):155-161. |
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| 作者姓名： | 燕锐 |
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| 作者单位： | 四川大学数学学院, |
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| 摘 要： | 作者研究了一类来自生化反应的n次多项式微分系统。利用计算机代数系统的分解、截尾、消去、约简、伪除等技术，首先给出了平衡点的定性性质，进而分析了由实参数a,b和整参数p,q所产生的Hopf分岔。
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| 关 键 词： | 多项式微分 平衡点 Hopf分岔 计算机代数系统 定性分析 生化反应 非平衡态化学反应 |
| 文章编号： | 0490-6756(2001)02-0155-07 |
QUALITATIVEANALYSISFORS POLYNOMIAL. DIFFERENTISL SYSTEM OF HIGH DEGREE IN BIOCHEMICAL REACTIONS |
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| YAN Rui.QUALITATIVEANALYSISFORS POLYNOMIAL. DIFFERENTISL SYSTEM OF HIGH DEGREE IN BIOCHEMICAL REACTIONS[J].Journal of Sichuan University (Natural Science Edition),2001,38(2):155-161. |
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| Authors: | YAN Rui |
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| Abstract: | The author considered a polynomial differential system of high degree,whic was given from a general multi-molecular reaction in biochemistry as a theoreti cal problem of concentration kinetics. The high degree of polynomials involves many difficulties. Using techniques of decomposition, truncation,elimination and resultant with computer algebra system, the author first gave qualitative prope rties of equilibria, and then analyzed its Hopf bifurcation both for real parameters and for integer parameters. |
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| Keywords: | polynomial system equilibrium Hopf bifurcation computer algebra system |
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