| 具有双参数的培养器系统的Hopf分支 |
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| 引用本文： | 李晓月,千美华,杨建平,黄启昌.具有双参数的培养器系统的Hopf分支[J].东北数学,2004,20(2):167-174. |
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| 作者姓名： | 李晓月 千美华 杨建平 黄启昌 |
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| 作者单位： | School of Mathematics and Statistics，Northeast Normal University，Changchun，130024，School of Mathematics and Statistics，Northeast Normal University，Changchun，130024，School of Mathematics and Statistics，Northeast Normal University，Changchun，130024，School of Mathematics and Statistics，Northeast Normal University，Changchun，130024 |
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| 基金项目： | The NSF (10171010) of China，Major Project of Education Ministry (01061) of China. |
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| 摘 要： | We study a chemostat system with two parameters, So-initial density and D-flow-speed of the solution. At first, a generalization of the traditional Hopf bifurcation theorem is given. Then, an existence theorem for the Hopf bifurcation of the chemostat system is presented.
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| 关 键 词： | 微分方程 分歧理论 定性理论 存在性 |
Hopf Bifurcations of a Chemostat System with Bi-parameters |
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| LI Xiao-yue,QIAN Mei-hua
YANG Jian-ping and HUANG Qi-chang.Hopf Bifurcations of a Chemostat System with Bi-parameters[J].Northeastern Mathematical Journal,2004,20(2):167-174. |
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| Authors: | LI Xiao-yue QIAN Mei-hua
YANG Jian-ping and HUANG Qi-chang |
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| Institution: | SchoolofMathematicsandStatistics,NortheastNormalUniversity,Changchun,130024 |
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| Abstract: | We study a chemostat system with two parameters, S0-initial density and D-flow-speed of the solution. At first, a generalization of the traditional Hopf bifurcation theorem is given. Then, an existence theorem for the Hopf bifurcation of the chemostat system is presented. |
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| Keywords: | Hopf bifurcation chemostat system equilibria |
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