俄勒冈模型的定性分析

Pub Date : 2020-01-01 DOI:10.4064/ap200321-18-8

Jun Zhou

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引用次数: 0

摘要

．在本文中，我们考虑了Oregonator系统解的性质，该系统是著名的Belousov-Zhabotinski × ×反应的数学模型。首先研究了该模型的动力学性质，建立了吸引矩形和常解稳定性等基本解析性质。然后，我们考虑了模型的稳态，以及在反应器参数和尺寸的不同条件下，非常稳态的存在和不存在。

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Qualitative analysis of the Oregonator model

. In this paper, we consider the properties of the solutions for the Oregonator system, which is the mathematical model of the celebrated Belousov–Zhabotinski˘ı reaction. We ﬁrst investigate the dynamics of the model, and some fundamental analytic properties such as attractive rectangle and stability of the constant solution are estab-lished. Then, we consider the steady states of the model, and the existence and nonexistence of nonconstant steady states under various conditions on the parameters and the size of the reactor.

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