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Oregonator with Time Delay

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This Demonstration shows how time delay can change the stability of steady or oscillatory Oregonator model states, causing further oscillations or significantly altering existing ones and hence inducing delay-controlled periodic behavior.

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From a chemical viewpoint, time delay could cause a stable equilibrium to become unstable and cause the properties in an Oregonator model to fluctuate. The equations describing the Oregonator model with delay are [1]

,

,

,

with , and ,

where is time, is , is , is , and is a time delay. The parameters are , , , , and .

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Contributed by: Clay Gruesbeck (October 2013)
Open content licensed under CC BY-NC-SA

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Reference

[1] X. Wu and C. Zhang, "Dynamic Properties of the Oregonator Model with Delay," Journal of Applied Analysis and Computation, 2(1), 2012 pp. 91–102.

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