Bursting phenomena in a simplified Oregonator flow system model
Bursting phenomena in a simplified Oregonator flow system model
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简化的 Oregonator 流动系统模型中的爆裂现象
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
W. Troy
中科院分区：
文献类型：
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作者：
J. Rinzel;W. Troy
我们研究了Belousov-Zhabotinskii反应在连续流搅拌釜反应器中的模型。该模型由三个常微分方程组成，这些常微分方程来自Janz、Vanecek和Field [J. Chem. Phys. 73，3132（1980）]提出的更复杂的五维模型。它基本上是一个简化的，不可逆的，间歇式反应器Oregonator与流动条款和瞬时依赖的化学计量参数f的溴化有机物质的量。在一定范围的物理参数（例如，较低的流速），系统表现出振荡的“爆发”。正如在一些实验中[例如，Marek和Svobodova，生物物理学。3，263（1975）]，观察者看到几个尖峰，随后是一个静止间隔（IQ），随后是尖峰的恢复，等等。正如Janz等人发现的，当f缓慢地来回扫过间歇反应器子系统表现出双稳态和滞后的值时，发生爆发。CSTR解决方案
We investigate a model for the Belousov–Zhabotinskii reaction in a continuous flow, stirred tank reactor. The model consists of a system of three ordinary differential equations derived from a more complicated five‐dimensional model introduced by Janz, Vanecek, and Field [J. Chem. Phys. 73, 3132 (1980)]. It is basically a simplified, irreversible, batch reactor Oregonator with flow terms and with instantaneous dependence of the stoichiometric parameter f on the amount of brominated organic substance. Over a range of physical parameters (e.g., lower flow rates) the system exhibits ’’bursts’’ of oscillations. As in some experiments [e.g., Marek and Svobodova, Biophys. Chem. 3, 263 (1975)], the observer sees several spikes followed by an interval of quiescence (IQ) which is subsequently followed by a resumption of the spikes, etc. As Janz et al. found, bursting occurs as f sweeps slowly back and forth through values for which the batch reactor subsystem exhibits bistability and hysteresis. The CSTR solution ...