Wu Tan, Wang Shuzhen. Limit Cycle of Simple Chemical Reaction Systems[J]. Chinese Journal of Engineering, 1987, 9(1): 105-108. DOI: 10.13374/j.issn1001-053x.1987.01.016
Citation: Wu Tan, Wang Shuzhen. Limit Cycle of Simple Chemical Reaction Systems[J]. Chinese Journal of Engineering, 1987, 9(1): 105-108. DOI: 10.13374/j.issn1001-053x.1987.01.016

Limit Cycle of Simple Chemical Reaction Systems

  • 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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