| 一类三分子反应模型的定性分析 |
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| 引用本文： | 李学鹏.一类三分子反应模型的定性分析[J].福建师范大学学报(自然科学版),1993,9(1):23-29. |
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| 作者姓名： | 李学鹏 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文对一类三分子反应模型进行了定性分析,完满地解决了其极限环的存在性和唯一性问题,并讨论了极限环随参数变化的情况。最后对极限环的位置作了估计。
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| 关 键 词： | 三分子反应 极限环 Hopf分枝 |
The Qualitative Analysis of a Kind of Trimolecular Response Model |
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| Li Xuepeng.The Qualitative Analysis of a Kind of Trimolecular Response Model[J].Journal of Fujian Teachers University(Natural Science),1993,9(1):23-29. |
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| Authors: | Li Xuepeng |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper analyses the qualitative properties of the system:First, proves the existence and the uniqueness of the limit cycle in system, then, by using the theory of rotated vector fields, discusses the variance of the limit cycle as the changing of parameter B, finally, tries to estimate the location of the limit cycle by making out a series of external boundary lines of the limit cycle. |
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| Keywords: | trimolecular response limit cycle Hopf bifureation trajectory asymptotic stability |
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