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邻氨基苯甲酸BZ反应中的振荡与混沌──Ⅱ、模型与数值模拟

Oscillations and Chaos in the BZ Reactions of o-NH2C6H4COOH System──Ⅱ. Model and Numerical Results

  • 摘要: 在本文I中分析邻氨基苯甲酸BZ反应振荡与混沌行为的基础上,提出了一个可能的Oregonator类型的振荡反应模型,并对有Mn2+催化的、相应于实验条件下的振荡和混沌行为进行了数值模拟,结果表明该模型能定性地模拟出实验中出现的周期振荡和非周期复杂振荡序列,并发现复杂振荡中,在Br浓度发生大突变前的小振荡中,反应的中间产物HBrO2和HOBr的浓度呈单调变化,说明这两种物质有可能不参与小振荡反应;同时,在模拟过程中还考察了某些不确定参数取值对体系振荡行为的影响;最后,与另外两个模型进行了比较。

     

    Abstract: On the basis of analysis of the oscillations and chaos in the o-NH2C6H4COOH BZ reaction system reproted in paper I, this paper proposes a reasonable Otegonator type model about BZ oscillation reactions, and simulates the oscillating and chaotic behaviors corresponding those observed in cxperiments. The numerical results are compared with the experimental results in the view of the potential-time curve of bromide, phase space, Poincare map, first return map and fractal dimension, and indicate that the model can simulated the periodic oscillations and chaotic oscillations qualitively. The studies on the medium products lead to a found that the concentrations of HBrO2 and HOBr change monotonously during the small amplitude oscillations of the concentration of Br- before a large-amplitude excursion, which suggests that HBrO2 and HOBr maybe not take a part in small amplitude oscillations. Moreover, the influences of some unreliable parameters on oscillaton behaviors arc discussed.

     

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