Hastings Harold M, Sobel Sabrina G, Field Richard J, Bongiovi Dominick, Burke Brianna, Richford Daniel, Finzel Kara, Garuthara Melissa
J Phys Chem A. 2008 May 29;112(21):4715-8. doi: 10.1021/jp8019073. Epub 2008 May 7.
The unstirred, ferroin (Fe(phen)3(2+)) catalyzed Belousov-Zhabotinsky (BZ) reaction is the prototype oscillatory chemical system. Reaction media with added Br(-) appear red (reduced, low [Fe(phen)3(3+)]) during an induction period of several minutes, followed by the "spontaneous" formation of "pacemaker" sites, which oscillate between a blue, oxidized state (high [Fe(phen)3(3+)]) and the red, reduced state and generate target patterns of concentric, outwardly moving waves of oxidation (blue). Auto-oscillatory behavior is also seen in the Oregonator model of Field, Koros and Noyes (FKN), a robust, reduced model that captures qualitative BZ kinetics in the auto-oscillatory regime. However, the Oregonator model predicts a blue (oxidized) induction phase. Here we develop a generalized Oregonator-like model with no explicit bifurcation parameter that yields the observed transition from a red initial state to oscillatory dynamics, and displays a new bifurcation mechanism not seen in the original Oregonator.
未搅拌的亚铁菲罗啉（Fe(phen)₃²⁺）催化的贝洛索夫 - 扎博廷斯基（BZ）反应是典型的振荡化学体系。在添加了Br⁻的反应介质中，在几分钟的诱导期内呈现红色（还原态，低[Fe(phen)₃³⁺]），随后“自发”形成“起搏器”位点，这些位点在蓝色的氧化态（高[Fe(phen)₃³⁺]）和红色的还原态之间振荡，并产生同心的、向外移动的氧化波（蓝色）的目标图案。在菲尔德（Field）、科罗斯（Koros）和诺伊斯（Noyes）的俄勒冈模型（FKN）中也观察到自振荡行为，这是一个强大的简化模型，能够捕捉自振荡区域中BZ反应的定性动力学。然而，俄勒冈模型预测有一个蓝色（氧化）诱导期。在此，我们开发了一个类似俄勒冈模型的广义模型，该模型没有明确的分岔参数，能够产生从红色初始状态到振荡动力学的观测转变，并展示了一种在原始俄勒冈模型中未见的新分岔机制。
