Analysis of the modified complete Oregonator accounting for oxygen sensitivity and photosensitivity of Belousov-Zhabotinskii systems
Analysis of the modified complete Oregonator accounting for oxygen sensitivity and photosensitivity of Belousov-Zhabotinskii systems
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考虑 Belousov-Zhabotinskii 系统氧敏感性和光敏感性的改进型完整 Oregonator 分析
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
L. Kuhnert
中科院分区：
文献类型：
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作者：
H. Krug;L. Pohlmann;L. Kuhnert
对别洛索夫-扎博廷斯基(BZ)反应的Oregonator模型进行了修正，引入了对应于氧气和光对BZ体系的影响的溴化物流。由于流动项的存在，俄勒冈州可能会出现三个具有相应双稳性质的定态解。具有散发周期解的Hopf分支发生在两个独立的定常解分支上。由于每个变量的时间尺度不同，如果振荡是松弛类型的，则分叉似乎是亚临界的。随着这些时间尺度的差异减小，超临界Hopf分叉出现了对宏观激励敏感的小幅度周期解。
The Oregonator model of the Belousov-Zhabotinsky (BZ) reaction is modified by introduction of a bromide flow corresponding to the influences of oxygen and for light on BZ systems. Due to the flow term, the Oregonator may exhibit three stationary solutions with corresponding bistability. Hopf bifurcations with emanating periodic solutions occur on two independent stationary solution branches. Bifurcations appear to be subcritical if oscillations are of relaxational type due to different time scales for each variable. With decreasing differences in these time scales, supercritical Hopf bifurcations occur emanating period solutions with small amplitudes which are sensitive to macroscopic excitations