| 一类生化系统的极限环 |
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| 引用本文： | 顾道修.一类生化系统的极限环[J].湖南师范大学教育科学学报,1994(5). |
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| 作者姓名： | 顾道修 |
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| 作者单位： | 湖南教育学院数学系 长沙 |
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| 摘 要： | 本文证明了一类生化系统dx/dt=x~p-ax+c,dy/dt=-x~py+bx的极限环的存在性与唯一性,分析了系统轨线的全局结构,指出了系统在无穷远点处,轨线存在奇异方向,解释了极限环消失的原因。
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| 关 键 词： | 生化系统 奇点 极限环 |
A LIMIT CYCLE OF A BIOCHEMICAL SYSTEM |
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| Gu Daoxiu.A LIMIT CYCLE OF A BIOCHEMICAL SYSTEM[J].Journal of Educational Science of Hunan Normal University,1994(5). |
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| Authors: | Gu Daoxiu |
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| Institution: | Gu Daoxiu Department of Mathematics,Hunan Educationl Institute,Changsha 410012 |
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| Abstract: | In this paper, the author proves some theorems for the existence anduniqueness of the limit cycles of a biochemical system under some conditions.He also analyses the global structure of the trajectories of the system andpoints out the cause of the disappearance of the limit cycles. |
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| Keywords: | biochemical system singular point limit cycle |
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