Period doubling and other complex bifurcations in non-isothermal chemical systems
Period doubling and other complex bifurcations in non-isothermal chemical systems
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非等温化学系统中的倍周期和其他复杂分岔
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
A. Tomlin
中科院分区：
文献类型：
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作者：
S. Scott;A. Tomlin
以链支化或自催化形式存在的化学反馈可以在仅涉及两个变量的非常简单的模型中引起振荡行为。许多化学反应也是放热的。这种化学热释放可以引起自加热，从而引起热反馈，其中温度以及浓度变化。当化学和热反馈耦合时，可以观察到的响应范围急剧增加。这些特征通过简单的非等温自催化剂方案p-> A速率= A +2 B-> 3 B速率= k1 2，A-^ B速率= kza，C +热速率= kza来证明。在最简单的情况下，反应可以是稳定的或可以显示简单的周期1振荡。随着实验条件的变化，出现了更复杂的振荡，具有更高的周期性，具有倍周期，混合模式振荡和非周期性（化学混沌）。
Chemical feedback in the form of chain-branching or autocatalysis can give rise to oscillatory behaviour in very simple models involving only two variables. Many chemical reactions are also exothermic. This chemical heat release can give rise to self-heating and hence to thermal feedback, where the temperature varies as well as the concentrations. When chemical and thermal feedback are coupled, the range of responses that can be observed are increased dramatically. These features are demonstrated through the simple non-isothermal autocatalator scheme p-> A rate = A + 2B-> 3B rate = k1 2, A-^ B rate = kza, C + heat rate = At its simplest, the reaction can be steady or can show simple period-1 oscillations. More complex oscillations, with higher periodicity appear as the experimental conditions are varied, with period doubling, mixed-mode oscillations and aperiodicity (chemical chaos).