The dynamics of the tubular chemical reactor with mass recycle was 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 behavior 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 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.

中文翻译：

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化学反应器中的混沌可预测性

考察了具有质量循环的管式化学反应器的动力学。在这样的系统中，温度和浓度可能会无序地振荡。这意味着状态变量值是不可预测的。本文表明，尽管存在混乱，但这种反应堆的行为是可以预测的。已经表明，这种现象可能在两种情况下发生。第一种情况涉及间歇性混乱。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沌，即混沌仅在特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在反应堆中会发生什么，但即使在遥远的将来也可以精确地确定变量的值。