Composite double oscillation in a modified version of the oregonator model of the Belousov–Zhabotinsky reaction
Composite double oscillation in a modified version of the oregonator model of the Belousov–Zhabotinsky reaction
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Belousov-Zhabotinsky 反应俄勒冈子模型修正版中的复合双振荡
DOI：
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发表时间：
1980
期刊：
影响因子：
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通讯作者：
R. J. Field
中科院分区：
文献类型：
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作者：
Robert D. Janz;D. Vaněček;R. J. Field
当Belousov-Zhabotinsky反应在流动体系（CSTR）中运行时，会出现一些在封闭体系中没有观察到的非单调行为。这些行为之一是复合双振荡，其中几乎相同的振荡爆发被规则的静止周期分开。本文采用改良版的Belousov-Zhabotinsky反应的oregonator模型来模拟复合双振荡。我们的修改涉及到添加一个新的变量，它与系统中存在的溴化有机物质的量有关。这个新的变量在振荡的时间尺度上变化缓慢，并控制着f的值，即测量器中步骤5的化学计量因子。因此，当流量适中时，改进后的调节器在CSTR模式下的行为可以根据未改进的调节器在封闭系统中的性能来合理化。我们证明复合双振荡是一种发生在…
A number of nonmonotonic behaviors appear when the Belousov–Zhabotinsky reaction is run in a flow system (CSTR) which are not observed when the reaction is run in a closed system. Among these behaviors is composite double oscillation in which nearly identical bursts of oscillation are separated by regular periods of quiescence. Here we use a modified version of the oregonator model of the Belousov–Zhabotinsky reaction to simulate composite double oscillation. Our modification involves the addition of a new variable which is related to the amount of brominated organic material present in the system. This new variable changes slowly on the time scale of the oscillations and controls the value of f, the stoichiometric factor of step 5 in the oregonator. Thus the behavior of the modified oregonator in CSTR mode when flowrates are moderate can be rationalized in terms of the properties of the unmodified oregonator in a closed system. We show that composite double oscillation is a hysteresis phenomenon occurrin...