| 一个生化系统极限环的存在唯一性定理 |
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| 引用本文： | 邵明华. 一个生化系统极限环的存在唯一性定理[J]. 杭州师范学院学报(社会科学版), 1993, 0(6) |
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| 作者姓名： | 邵明华 |
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| 作者单位： | 杭州师范学院数学系 |
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| 摘 要： | 文献给出了如下一个生化反应系统:dx/dt=a-bx-xy~2dy/dt=bx+xy~2-y其中a>0,b>0;x>0,g>0对于系统(1)的研究已发表了多篇文章.本文给出了一个极限环存在唯一性的充要条件为a~2-b>(a~2+b)~2,并画出了系统的全局结构图。从而完整了对该系统的研究.
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| 关 键 词： | 极限环 奇点 |
EXISTENCE AND UNIQVENESS FOR LIMIT CYCLE OF A BIO-CHEMICHL SYSTEM |
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| Shao Minghua. EXISTENCE AND UNIQVENESS FOR LIMIT CYCLE OF A BIO-CHEMICHL SYSTEM[J]. Journal of Hangzhou Teachers College(Humanities and Social Sciences), 1993, 0(6) |
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| Authors: | Shao Minghua |
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| Affiliation: | Deparyment of Mathenatics |
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| Abstract: | The following Bio-Chemical reaction system is given in[1]:(1) a>0,b>0, and x>0, y>0There are many papers on the study of this system. In this paper we prove that for the existence and uniqueness of a limit cyele if and only if a2- b>(a+b)2.We also give the overall syructural graph of the system, thus completing the study of the system. |
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| Keywords: | limit cycle point singularity. |
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