物理化学学报 >> 1988, Vol. 4 >> Issue (06): 657-659.doi: 10.3866/PKU.WHXB19880618

研究简报 上一篇    下一篇

双节奏和三重稳定性现象的一个自催化反应模型

李如生   

  1. 清华大学化学系
  • 收稿日期:1987-04-10 修回日期:1988-02-05 发布日期:1988-12-15
  • 通讯作者: 李如生

AN AUTOCATALYTIC REACTION MODEL FOR BIRHYTHUM AND TRISTABILITY

Li Rusheng   

  1. Department of Chemistry; Tsinghua University; Beijing
  • Received:1987-04-10 Revised:1988-02-05 Published:1988-12-15
  • Contact: Li Rusheng

Abstract: An autocatalytic reaction model X+2Y→3Y, Y+Z→2Z, Y→P, in a CSTR is put forward to model the phenomena of birhythum and tristability in isothermal, homogeneous chemical systems. Numerical simulations show that, under the proper values of the parameters, system may evolve to and remain at two or three different asymptotic states under same parameter's values but different initial values of X, Y and Z. In some cases, two of these asymptotic states are oscillatory, as shown in Fig.1. This is the phenomenon of birhythum. The stability of these asymptotic states are discussed. Some of them are not strickly stable but might be observed experimentally in chemical systems. It′s implications to the problem of biological evolution is also discussed.