一类简单化学反应系统的极限环(续)
Limit Cycle of Simple Chemical Reaction Systems
-
摘要: 本文在文[2]的基础上,对系统
$\left\{ {_{\frac{{{\rm{dy}}}}{{{\rm{dt}}}}{\rm{ = a - }}{{\rm{x}}^{\rm{2}}}{\rm{y}}}^{\frac{{{\rm{dx}}}}{{{\rm{dt}}}}{\rm{ = b - }}{{\rm{x}}^{\rm{2}}}{\rm{y}}}} \right.\;\;\;\;\;\;\;(1)$
(其中a>0,b>0)作了更深入的研究,从而得到当a-b≤(a+b)3时,系统(1)无极限环的结论,并指出了,当a-b>(a+b)3时,系统(1)的极限环的位置及其随参数a,b的变化情况。Abstract: This paper, on the basis of authors paper[2], Studies further thesystem
$\left\{ {_{\frac{{{\rm{dy}}}}{{{\rm{dt}}}}{\rm{=a - }}{{\rm{x}}^{\rm{2}}}{\rm{y}}}^{\frac{{{\rm{dx}}}}{{{\rm{dt}}}}{\rm{=b - }}{{\rm{x}}^{\rm{2}}}{\rm{y}}}} \right.\;\;\;\;\;\;\;(1)$and a result is abtained that if a - b ≤ (a + b)3 holds, system (1) has no limit cycle.It also points out the position of limit cycles of the system (1) when a-b>(a + b)3 holds how it changes with the parameters a, b.-
Keywords:
- chemical reaction systems /
- limit cycle
-
计量
- 文章访问数: 360
- HTML全文浏览量: 78
- PDF下载量: 12