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Bifurcation analysis: a tool for determining model parameters of the considered process

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2018
Authors
Macesic, Stevan
Čupić, Željko
Ivanović-Šašić, Ana
Anić, Slobodan
Radenkovic, Mirjana
Pejić, Nataša
Kolar-Anić, Ljiljana
Article (Published version)
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Abstract
In this paper, we intend to show the importance of the bifurcation analysis in understanding of an oscillatory process. Hence, we use the bifurcation diagram of the Bray-Liebhafsky reaction performed in continuous well-stirred tank reactor under controlled temperature variations for the determination of the activation energies as well as rate constants of particular steps appearing in the kinetic model of oscillatory reaction mechanism. This approach has led us to the development of general procedure for treatment of experimentally obtained data and extracting kinetic parameters from them, which was very important considering that some rate constants of the already proposed model could not be determined experimentally and have to be fitted (or guessed). Also, the proposed approach has the potential to inspire the refinement of already proposed models and the development of a new one that will be able to reproduce experimentally obtained system's dynamical features more successfully. In... particular, the dynamic states of the Bray-Liebhafsky oscillatory reaction have been analyzed experimentally and numerically using already proposed model together with qualitative and quantitative analysis of bifurcation diagrams in both cases.

Keywords:
Nonlinear dynamics / Bifurcation analysis / Bray-Liebhafsky oscillatory reaction / Modelling / CSTR
Source:
Reaction Kinetics, Mechanisms and Catalysis, 2018, 123, 1, 31-45
Publisher:
  • Springer Netherlands
Projects:
  • Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under nonequilibrium conditions (RS-172015)
  • Nanostructured Functional and Composite Materials in Catalytic and Sorption Processes (RS-45001)
  • Advanced technologies for monitoring and environmental protection from chemical pollutants and radiation burden (RS-43009)

DOI: 10.1007/s11144-017-1324-6

ISSN: 1878-5190

WoS: 000419514200003

Scopus: 2-s2.0-85035793444
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URI
http://cer.ihtm.bg.ac.rs/handle/123456789/2461
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IHTM

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