Infinite Period and Hopf Bifurcations for the pH-Regulated Oscillations in a Semibatch Reactor (H₂O₂-Cu²⁺-S₂O^2-_3-–NaOH System)

Authors

Peter E. Strizhak, National Academy of Sciences of Ukraine
John A. Pojman, University of Southern MississippiFollow

Document Type

Article

Publication Date

9-1-1996

Department

Chemistry and Biochemistry

School

Mathematics and Natural Sciences

Abstract

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.

Comments

Published by Chaos at https://doi.org/10.1063/1.166188.

Publication Title

Chaos

Volume

6

Issue

3

First Page

461

Last Page

465

Recommended Citation

Strizhak, P. E., Pojman, J. A. (1996). Infinite Period and Hopf Bifurcations for the pH-Regulated Oscillations in a Semibatch Reactor (H₂O₂-Cu²⁺-S₂O^2-_3-–NaOH System). Chaos, 6(3), 461-465.
Available at: https://aquila.usm.edu/fac_pubs/5696