摘要: |
对一类多分子反应模型ẋ=1-Tx-xpyq,ẏ=Uy(xpyq-1-1)进行定性分析,在第一象限奇点无法具体求出的条件下,讨论了轨线的有界性,分界线的位置关系以及极限环的存在性和不存在性. |
关键词: 分界线 极限环 相图 |
DOI: |
投稿时间:1997-06-27 |
基金项目: |
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The Phase Diagram of a Multimolecule Model |
Yang Qigui
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(Dept. of Math. and Computer Sci., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004) |
Abstract: |
The author consides a multimolecules model ẋ=W-ax-xpyq,ẏ=xpyq-by where x ≥ 0,y ≥ 0;W,a,b,p and q are positive constants.Under the conditions that the concrete expression of its singularities are not sloved,we discuss the bounded property of trajectories,separatrix configuration,nonexistence and existence of limit cycle. |
Key words: separatrix limit cycle phase diagram |