OSCILLATIONS, BISTABILITY, AND ECHO WAVES IN MODELS OF THE BELOUSOV‐ZHABOTINSKII REACTION *
OSCILLATIONS, BISTABILITY, AND ECHO WAVES IN MODELS OF THE BELOUSOV‐ZHABOTINSKII REACTION *
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BELOUSOV-ZABOTINSKII 反应模型中的振荡、双稳态和回波*
DOI：
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发表时间：
1979
期刊：
影响因子：
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通讯作者：
J. Tyson
中科院分区：
文献类型：
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作者：
J. Tyson
在适当的条件下，在酸性介质中，Ce催化溴酸盐氧化丙二酸的反应表现出许多有趣的现象，包括持续周期的交替稳定稳态共存，I_4非周期(“混沌”)振荡和化学反应的时空波，通过考察该反应的简单模型，可以对产生这种不同行为的机理有一些了解。由于时间尺度的广泛分离，这是在这个问题中自然出现的，因此可以根据系统参数推导出模型的特征属性的解析表达式，例如振荡的波形和周期、多个稳态的存在范围以及可激发介质中周期性回波的条件。
Under appropriate conditions the cerium catalyzed oxidation of malonic acid by bromate in acid medium exhibits a numer of interesting phenomena, including sustained periodic the coexistence of alternative stable steady states,i4 nonperiodic (“chaotic”) oscillation^,^^^ and spatiotemporal waves of chemical Some insight into the mechanism that generates such diverse behavior can be gained by examining simple models of this reaction. Because of the wide separation of time scales, which occurs naturally in this problem, it is possible to derive analytic expressions in terms of system parameters for characteristic properties of models, such as the waveform and period of oscillations, the domain of existence of multiple steady states, and the conditions for periodic “echo” waves in an excitable medium.