Oscillations in chemical systems. XII. Applicability to closed systems of models with two and three variables
Oscillations in chemical systems. XII. Applicability to closed systems of models with two and three variables
复制标题
化学系统中的振荡。
DOI：
10.1063/1.432391
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发表时间：
1976
影响因子：
4.4
通讯作者：
R. M. Noyes
中科院分区：
文献类型：
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作者：
R. M. Noyes
大多数化学振荡器模型的计算都保持主要反应物的浓度恒定，而允许中间体的浓度变化。仅当反应物在每个循环期间消耗一小部分时，这种简化的计算才适用于封闭的化学系统。仅涉及两种中间物种的现有模型对于封闭系统的建模通常不能令人满意。因此，Lotka 机制（不会生成真正的极限环）无法对封闭系统中的无限小振荡进行建模，除非捕食者与被捕食者相互作用的速率常数非常大。 Brusselator 模型无法模拟封闭系统振荡，除非各种速率常数被限制在非常有限的范围内。仅具有两个中间体的任何其他模型必须在这些中间体中包含至少三阶的步骤。相比之下，具有三个变量且仅一阶和二阶过程的 Oregonator 模型可以对一个封闭系统进行建模，其中......
Most computations on models of chemical oscillators have maintained constant concentrations of major reactants while concentrations of intermediates were allowed to vary. Such simplified computations are applicable to closed chemical systems only if reactants are depleted by small fractions during each cycle. Existing models that involve only two intermediate species are generally unsatisfactory for modeling closed systems. Thus, the Lotka mechanism (which does not generate a true limit cycle) can not model even infinitesimally small oscillations in a closed system unless the rate constant for predator–prey interaction is very large. The Brusselator model can not model closed system oscillations unless the various rate constants are confined to very restricted ranges. Any other model with only two intermediates must contain a step at least third order in those intermediates. By contrast, the Oregonator model with three variables and only first‐ and second‐order processes, can model a closed system in whic...