Abstract
In this article, we discuss the Belousov–Zhabotinsky (BZ) reaction and its relation with the Oregonator model of chemical reactions. The Oregonator model has a limit cycle, and the BZ reaction shows chemical oscillations. We compare the time series obtained from the Oregonator model, with the time series obtained froman experimental study of the BZ reaction and show that the qualitative behaviour is similar. We also construct the limit cycle from the experimental data using the Takens’ embedding theorem and compare it with the limit cycle from the Oregonator model. We conclude with a demonstration of the spatio-temporal patterns which can be seen in the two-dimensional version of this system.
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Acknowledgements
Abiya Rajans is thankful to Anupama Roy from Dynamical Systems Lab IITM for fruitful discussions. Experiments requiring UV-visible spectrophotometer with stirring facilities were carried out in Prof. A K Mishra’s laboratory, IITM under his guidance, with the help of Dr Saugata Sahu. Many thanks for their valuable support and advice.
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Abiya Rajans is a BS-MS student at IISER Tirupati. She is interested in dynamical systems, divisibility graphs, network theory.
Neelima Gupte was earlier on the faculty of the University of Pune, and is now at IIT Madras where she presently holds the Girija Vaidyanathan Chair Professorship in the Department of Physics. She specialises in Nonlinear Dynamics, Chaos and Statistical Mechanics.
P C Deshmukh served the IIT Madras for more than three decades and has now moved to the IIT Tirupati. He also holds an adjunct position at the IISER Tirupati. He specializes in quantum collision physics.
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Rajans, A., Gupte, N. & Deshmukh, P.C. Non-linear Chemical Reactions. Reson 25, 381–395 (2020). https://doi.org/10.1007/s12045-020-0952-8
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DOI: https://doi.org/10.1007/s12045-020-0952-8