Infinite Period and Hopf Bifurcations for the pH-Regulated Oscillations in a Semibatch Reactor (H2O2-Cu2+-S2O2-3-–NaOH System)
Chemistry and Biochemistry
Mathematics and Natural Sciences
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 Na2S2O3 and 0.112 M NaOH was flowed at 0.160 mL/min into 300 mL of solution containing the H2O2 and Cu2+ in a vessel. There exists a critical value of the H2O2 or Cu2+ concentrations below which the system does not oscillate. The oscillations appear due to an infinite period bifurcation at low initial concentrations of the H2O2. The initial concentration of Cu2+ 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 H2O2 and Cu2+. Our results show a possibility to distinguish different scenarios for the appearance of transient oscillations in semibatch experiments.
Strizhak, P. E.,
Pojman, J. A.
(1996). Infinite Period and Hopf Bifurcations for the pH-Regulated Oscillations in a Semibatch Reactor (H2O2-Cu2+-S2O2-3-–NaOH System). Chaos, 6(3), 461-465.
Available at: https://aquila.usm.edu/fac_pubs/5696
Published by Chaos at https://doi.org/10.1063/1.166188.