| DYNAMICAL BEHAVIORS FOR A THREE－DIMENSIONAL DIFFERENTIAL EQUATION IN CHEMICAL SYSTEM |
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| 引用本文： | 林怡平,曾宪武,井竹君. DYNAMICAL BEHAVIORS FOR A THREE－DIMENSIONAL DIFFERENTIAL EQUATION IN CHEMICAL SYSTEM[J]. 应用数学学报(英文版), 1996, 12(2): 144-154. DOI: 10.1007/BF02007734 |
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| 作者姓名： | 林怡平 曾宪武 井竹君 |
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| 作者单位： | LIN YIPING (Section of Mathematics，Kunming Institute of Technology，Kunming 650093，China)ZENG XIANWU (Department of Mathematics，Wuhan University，Wuhan 430072，China)JING ZHUJUN (Institute of Mathematics，Chinese Academy of Sciences，Beijing 100080，Ch |
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| 摘 要： | ＤＹＮＡＭＩＣＡＬＢＥＨＡＶＩＯＲＳＦＯＲＡＴＨＲＥＥ－ＤＩＭＥＮＳＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＩＮＣＨＥＭＩＣＡＬＳＹＳＴＥＭＬＩＮＹＩＰＩＮＧ（ＳｅｃｔｉｏｎｏｆＭａｔｈｅｍａｔｉｃｓ，ＫｕｎｍｉｎｇＩｎｓｔｉｔｕｔｅｏｆＴ...
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| 收稿时间： | 1992-05-28 |
Dynamical behaviors for a three-dimensional differential equation in chemical system |
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| Yiping Lin,Xianwu Zeng,Zhujun Jing. Dynamical behaviors for a three-dimensional differential equation in chemical system[J]. Acta Mathematicae Applicatae Sinica, 1996, 12(2): 144-154. DOI: 10.1007/BF02007734 |
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| Authors: | Yiping Lin Xianwu Zeng Zhujun Jing |
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| Affiliation: | (1) Section of Mathematics, Kunming Institute of Technology, 650093 Kunming, China;(2) Department of Mathematics, Wuhan University, 430072 Wuhan, China;(3) Institute of Mathematics, Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | In this paper, a mathematical model of chemical system is investigated, the conditions of existence and local stability and bifurcation for the steady-states are obtained, the periodic solutions of the Hopf type are considered, the multiple Hopf bifurcation points exist if one parameter varies, and a technique for studying the Hopf biforcation value is given here. |
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| Keywords: | Local stability Hopf bifurcation multiple Hopf bifurcation points |
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