| 可逆多分子饱和反应动力系统的极限环及其数值模拟 |
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| 引用本文： | 曾广洪,刘华祥,吴庆初.可逆多分子饱和反应动力系统的极限环及其数值模拟[J].江西师范大学学报(自然科学版),2016,40(1):43-46. |
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| 作者姓名： | 曾广洪 刘华祥 吴庆初 |
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| 作者单位： | 1.江西师范大学数学与信息科学学院,江西 南昌 330022; 2.广东海洋大学理学院数学系,广东 湛江 524088 |
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| 摘 要： | 应用微分方程定性理论研究了一类具有2重饱和反应速度的生物化学反应动力系统,得到了关于存在唯一极限环的显著不同的参数区域,并用深度优先搜索算法编程进行了计算机数值模拟,发现其存在Hopf分支现象.
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| 关 键 词： | 饱和反应 极限环 深度优先搜索 数值模拟 |
The Limit Cycle and Its Numerical Simulation of Dynamical System with Reversible Multiple Molecules and Saturated Reaction |
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| ZENG Guanghong,LIU Huaxiang,WU Qingchu.The Limit Cycle and Its Numerical Simulation of Dynamical System with Reversible Multiple Molecules and Saturated Reaction[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2016,40(1):43-46. |
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| Authors: | ZENG Guanghong LIU Huaxiang WU Qingchu |
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| Institution: | 1.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China;
2.Department of Mathematics,Guangdong Ocean University,Zhanjiang Guangdong 524088,China |
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| Abstract: | By using the qualitative theory of ordinary differential equation(ODE),a nonlinear system in bio-chemical reaction with multiple molecules saturation is studied and the significantly different parameter region of existence and uniqueness of limit cycle is obtained.Numerical simulation of Hopf bifurcation phenomenon was showed on computer by using depth-first-search algorithm of Artificial Intelligence.The results can provide references for optimizing design of experimental parameters in such reactions. |
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| Keywords: | saturated reaction limit cycle depth-first-search numerical simulation |
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