Hastings Harold M, Field Richard J, Sobel Sabrina G, Guralnick David
Division of Science, Mathematics and Computing, Bard College at Simon's Rock , 84 Alford Road, Great Barrington, Massachusetts 01230, United States.
Department of Chemistry, University of Montana , Missoula, Montana 59812, United States.
J Phys Chem A. 2016 Oct 20;120(41):8006-8010. doi: 10.1021/acs.jpca.6b06285. Epub 2016 Oct 11.
The Belousov-Zhabotinsky (BZ) reaction is the prototype oscillatory chemical system. We investigate here a new scaling of the Oregonator model of BZ chemical kinetics and use this scaling to elucidate fundamental properties of BZ dynamics. In particular, the Showalter-Noyes criterion for oscillation, that the product [BrO][H] exceeds a critical value, arises naturally as a subcritical Hopf bifurcation in this setting, as does the reduction to a two-variable model. We thus provide chemical explanations of the role of time scales in the BZ reaction.
别洛索夫-扎博京斯基（BZ）反应是振荡化学系统的原型。我们在此研究BZ化学动力学俄勒冈模型的一种新的标度，并利用这种标度来阐明BZ动力学的基本性质。特别地，振荡的肖沃尔特-诺伊斯判据，即产物[BrO][H]超过一个临界值，在这种情况下自然地作为一个亚临界霍普夫分岔出现，简化为双变量模型时也是如此。因此，我们对时间尺度在BZ反应中的作用给出了化学解释。
