一類簡單化學反應系統的極限環(續)
Limit Cycle of Simple Chemical Reaction Systems
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摘要: 本文在文2的基礎上,對系統
\left\ _\frac\rmdy\rmdt\rm = a - \rmx^\rm2\rmy^\frac\rmdx\rmdt\rm = b - \rmx^\rm2\rmy \right.\;\;\;\;\;\;\;(1)
（其中a>0,b>0）作了更深入的研究,從而得到當a-b≤（a+b）3時,系統（1）無極限環的結論,并指出了,當a-b>（a+b）3時,系統（1）的極限環的位置及其隨參數a,b的變化情況。Abstract: This paper, on the basis of authors paper2, Studies further thesystem
\left\ _\frac\rmdy\rmdt\rm=a - \rmx^\rm2\rmy^\frac\rmdx\rmdt\rm=b - \rmx^\rm2\rmy \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.
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