TY  - JOUR
AU  - Macesić, Stevan
AU  - Čupić, Željko
AU  - Ivanović-Sasić, Ana
AU  - Anić, Slobodan
AU  - Radenković, Mirjana
AU  - Pejić, Nataša
AU  - Kolar-Anić, Ljiljana
PY  - 2018
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/3203
AB  - 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.
PB  - Springer, Dordrecht
T2  - Records of Natural Products
T1  - Bifurcation analysis: a tool for determining model parameters of the considered process
VL  - 123
IS  - 1
SP  - 31
EP  - 45
DO  - 10.1007/s11144-017-1324-6
ER  - 

@article{
author = "Macesić, Stevan and Čupić, Željko and Ivanović-Sasić, Ana and Anić, Slobodan and Radenković, Mirjana and Pejić, Nataša and Kolar-Anić, Ljiljana",
year = "2018",
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.",
publisher = "Springer, Dordrecht",
journal = "Records of Natural Products",
title = "Bifurcation analysis: a tool for determining model parameters of the considered process",
volume = "123",
number = "1",
pages = "31-45",
doi = "10.1007/s11144-017-1324-6"
}

Macesić, S., Čupić, Ž., Ivanović-Sasić, A., Anić, S., Radenković, M., Pejić, N.,& Kolar-Anić, L.. (2018). Bifurcation analysis: a tool for determining model parameters of the considered process. in Records of Natural Products
Springer, Dordrecht., 123(1), 31-45.
https://doi.org/10.1007/s11144-017-1324-6

Macesić S, Čupić Ž, Ivanović-Sasić A, Anić S, Radenković M, Pejić N, Kolar-Anić L. Bifurcation analysis: a tool for determining model parameters of the considered process. in Records of Natural Products. 2018;123(1):31-45.
doi:10.1007/s11144-017-1324-6 .

Macesić, Stevan, Čupić, Željko, Ivanović-Sasić, Ana, Anić, Slobodan, Radenković, Mirjana, Pejić, Nataša, Kolar-Anić, Ljiljana, "Bifurcation analysis: a tool for determining model parameters of the considered process" in Records of Natural Products, 123, no. 1 (2018):31-45,
https://doi.org/10.1007/s11144-017-1324-6 . .

TY  - JOUR
AU  - Stanković, Branislav
AU  - Čupić, Željko
AU  - Macesić, Stevan
AU  - Pejić, Nataša
AU  - Kolar-Anić, Ljiljana
PY  - 2016
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2542
AB  - The mixing of different types of bifurcations, i.e. supercritical Andronov-Hopf (SAH), double loop (DL) and saddle-loop (SL) bifurcations in the vicinity of their total annihilation, is examined on the highly nonlinear six-variable model for the Bray-Liebhafsky (BL) oscillatory reaction under continuously well-stirred tank reactor (CSTR) conditions. For this kind of the reaction system where the law of mass conservation is additional constraint that must be satisfied and where because of that, some simple bifurcations cannot be formed independently to the others, the considered transformations of the bifurcations are particularly important. That is why as the control parameters for bifurcation analysis, the specific flow rate (j(0)), as well as the inflow hydrogen peroxide concentration (h = [H2O2](in)), were used. The complex bifurcations obtained from numerical simulations are compared with some experimental results. It was shown that these complex bifurcations cannot be easily recognized in experimental investigations without knowing their evolution.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Chaos Solitons & Fractals
T1  - Complex bifurcations in the oscillatory reaction model
VL  - 87
SP  - 84
EP  - 91
DO  - 10.1016/j.chaos.2016.03.013
ER  - 

@article{
author = "Stanković, Branislav and Čupić, Željko and Macesić, Stevan and Pejić, Nataša and Kolar-Anić, Ljiljana",
year = "2016",
abstract = "The mixing of different types of bifurcations, i.e. supercritical Andronov-Hopf (SAH), double loop (DL) and saddle-loop (SL) bifurcations in the vicinity of their total annihilation, is examined on the highly nonlinear six-variable model for the Bray-Liebhafsky (BL) oscillatory reaction under continuously well-stirred tank reactor (CSTR) conditions. For this kind of the reaction system where the law of mass conservation is additional constraint that must be satisfied and where because of that, some simple bifurcations cannot be formed independently to the others, the considered transformations of the bifurcations are particularly important. That is why as the control parameters for bifurcation analysis, the specific flow rate (j(0)), as well as the inflow hydrogen peroxide concentration (h = [H2O2](in)), were used. The complex bifurcations obtained from numerical simulations are compared with some experimental results. It was shown that these complex bifurcations cannot be easily recognized in experimental investigations without knowing their evolution.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Chaos Solitons & Fractals",
title = "Complex bifurcations in the oscillatory reaction model",
volume = "87",
pages = "84-91",
doi = "10.1016/j.chaos.2016.03.013"
}

Stanković, B., Čupić, Ž., Macesić, S., Pejić, N.,& Kolar-Anić, L.. (2016). Complex bifurcations in the oscillatory reaction model. in Chaos Solitons & Fractals
Pergamon-Elsevier Science Ltd, Oxford., 87, 84-91.
https://doi.org/10.1016/j.chaos.2016.03.013

Stanković B, Čupić Ž, Macesić S, Pejić N, Kolar-Anić L. Complex bifurcations in the oscillatory reaction model. in Chaos Solitons & Fractals. 2016;87:84-91.
doi:10.1016/j.chaos.2016.03.013 .

Stanković, Branislav, Čupić, Željko, Macesić, Stevan, Pejić, Nataša, Kolar-Anić, Ljiljana, "Complex bifurcations in the oscillatory reaction model" in Chaos Solitons & Fractals, 87 (2016):84-91,
https://doi.org/10.1016/j.chaos.2016.03.013 . .