论文标题

化学反应器中的混乱可预测性

Chaos predictability in a chemical reactor

论文作者

Berezowski, Marek

论文摘要

检查了带有质量回收的管状化学反应器的动力学。在这样的系统中,温度和浓度可能会混乱地振荡。这意味着状态变量值然后是不可预测的。在本文中,已经表明,尽管存在混乱,但这种反应器的行为可以预测。已经表明,这种现象可以在两种情况下发生。第一种案例涉及间歇性混乱。已经表明,间歇性爆发可以定期发生。第二种情况涉及瞬态混乱,即混乱仅在一定时间段内发生的情况,例如仅在启动期间。这种现象使得无法预测最近时间中会发生什么,但是即使在遥远的将来,也可以精确地确定变量的值。这两种现象均通过对反应器的数学模型的数值模拟进行了测试。

The dynamics of the tubular chemical reactor with mass recycle were examined. In such a system, temperature and concentrations may oscillate chaotically. This means that state variable values are then unpredictable. In this paper it has been shown that despite the chaos, the behaviour of such a reactor can be predictable. It has been shown that this phenomenon can occur in two cases. The first case concerns intermittent chaos. It has been shown that intermittent outbursts can occur at regular intervals. The second case concerns transient chaos, i.e. a situation when the chaos occurs only for a certain period of time, e.g. only during start-up. This phenomenon makes it impossible to predict what will occur in the reactor in the nearest time, but, makes it possible to precisely determine the values of the variables even in the distant future. Both of these phenomena were tested by numerical simulation of the mathematical model of the reactor.

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