Limit Cycle of Simple Chemical Reaction Systems

Wu Tan; Wang Shuzhen

doi:10.13374/j.issn1001-053x.1987.01.016

Volume 9 Issue 1

Oct. 2021

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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

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

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Limit Cycle of Simple Chemical Reaction Systems

doi: 10.13374/j.issn1001-053x.1987.01.016

Wu Tan¹,
Wang Shuzhen²

Received Date: 1986-03-01
Available Online: 2021-10-28

Abstract

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.
- chemical reaction systems,
- limit cycle