| QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS |
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| 作者姓名： | LIU Zhenrong |
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| 作者单位： | LIU Zhenrong (Department of Mathematics，Yunnan University，Kunming 650091，China)
JING Zhujun~* (Institute of Mathematics，Academia Sinica，Beijing 100080，China) |
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| 基金项目： | Supported by the Chinese National Science Foundation“Tian Yuan”Terms and LNM Institute of Mechanics,Chinese Academy of Sciences |
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| 摘 要： | In this paper a mathematical model of chemical systems is investigated.We present the conditions for the existence and local stability of the steady statesand the periodic solution of the Hopf type.Specifically,we show by using an ana-lytical method that there may exist two or four Hopf bifurcation points separatedat a finite distance from each other;at the same time,a technique for studying theHopf bifurcation value is given.
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QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS |
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| LIU Zhenrong.QUALITATIVE ANALYSIS FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF CHEMICAL SYSTEMS[J].Journal of Systems Science and Complexity,1992(4). |
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| Authors: | LIU Zhenrong |
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| Abstract: | In this paper a mathematical model of chemical systems is investigated.
We present the conditions for the existence and local stability of the steady states
and the periodic solution of the Hopf type.Specifically,we show by using an ana-
lytical method that there may exist two or four Hopf bifurcation points separated
at a finite distance from each other;at the same time,a technique for studying the
Hopf bifurcation value is given. |
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| Keywords: | Periodic solution of Hopf type determination of Hopf bifurcation value |
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