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Infinite period and Hopf bifurcations for the pH-regulated oscillations in a semibatch reactor (H2O2–Cu2+–S2O2−3–NaOH system) (1996)

Strizhak, Peter E. ; Pojman, John A.

Woodbury, NY : American Institute of Physics (AIP)

Chaos 6 (1996), S. 461-465

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ISSN: 1089-7682

Source: AIP Digital Archive

Topics: Physics

Notes: 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. © 1996 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.166188

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