Infinite period and Hopf bifurcations for the pH-regulated oscillations in a semibatch reactor (H(2)O(2)-Cu(2+)-S(2)O(2-) (3)-NaOH system).
Infinite period and Hopf bifurcations for the pH-regulated oscillations in a semibatch reactor (H(2)O(2)-Cu(2+)-S(2)O(2-) (3)-NaOH system).
复制标题
半间歇式反应器（H(2)O(2)-Cu(2)-S(2)O(2-) (3)-NaOH 系统）中 pH 调节振荡的无限周期和 Hopf 分岔。
作者：
P. Strizhak;J. Pojman
在半间歇式反应器中研究了痕量铜离子存在下过氧化氢氧化硫代硫酸根离子的pH调节振荡动力学行为。将0.08 M Na（2）S（2）O（3）和0.112 M NaOH的溶液以0.160 mL/min流入容器中的300 mL含有H（2）O（2）和Cu（2+）的溶液中。H（2）O（2）或Cu（2+）浓度存在一个临界值，低于该值时系统不振荡。在低初始浓度下，由于无限周期分岔，出现了振荡。在这种情况下，Cu（2+）的初始浓度可以看作是一个分岔参数.初始过氧化氢浓度的增加导致pH调节振荡通过一个非简并的超临界Hopf分岔。通过对不同初始浓度H2 O2和Cu 2+时振荡幅度和周期的分析，对分岔进行了分类。我们的研究结果表明，在半批量实验中的瞬态振荡的外观区分不同的情况下的可能性。(c)1996年美国物理学会。
Dynamic behavior of the pH-regulated oscillations has been studied for the hydrogen peroxide oxidation of thiosulfate ions in the presence of trace amounts of copper(II) ions in a semibatch reactor. A solution of 0.08 M Na(2)S(2)O(3) and 0.112 M NaOH was flowed at 0.160 mL/min into 300 mL of solution containing the H(2)O(2) and Cu(2+) in a vessel. There exists a critical value of the H(2)O(2) or Cu(2+) concentrations below which the system does not oscillate. The oscillations appear due to an infinite period bifurcation at low initial concentrations of the H(2)O(2). The initial concentration of Cu(2+) may be considered as a bifurcation parameter in this case. Increase of the initial hydrogen peroxide concentration causes the pH-regulated oscillations through a nondegenerate supercritical Hopf bifurcation. The classification of bifurcations is based on the analysis of the behavior of oscillation amplitude and period at different initial concentrations of the H(2)O(2) and Cu(2+). Our results show a possibility to distinguish different scenarios for the appearance of transient oscillations in semibatch experiments. (c) 1996 American Institute of Physics.