化工反应器中的混沌可预测性
Chaos predictability in a chemical reactor
AI总结：
本文研究了化工反应器中混沌现象的可预测性，通过数值模拟证明间歇性和瞬态混沌在不同条件下均可被预测。
摘要：
对具有质量循环的管式化学反应器的动力学进行了研究。在这样的系统中，温度和浓度可能以混沌的方式振荡。这意味着状态变量的值将是不可预测的。本文表明，尽管存在混沌，此类反应器的行为仍可以被预测。已证明这种现象可以在两种情况下发生。第一种情况涉及间歇性混沌。已证明间歇性爆发可以在固定的时间间隔内发生。第二种情况涉及瞬态混沌，即混沌只在一定时间内发生，例如仅在启动期间。这种现象使无法预测反应器在最近时间内的行为，但使能够精确确定变量的值，即使在遥远的未来。这两种现象均通过反应器数学模型的数值模拟进行了测试。
英文摘要：
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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