Complex bifurcations in the oscillatory reaction model
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2016
Članak u časopisu (Objavljena verzija)
Metapodaci
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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 recog...nized in experimental investigations without knowing their evolution.
Izvor:
Chaos Solitons & Fractals, 2016, 87, 84-91Izdavač:
- Pergamon-Elsevier Science Ltd, Oxford
Finansiranje / projekti:
- Dinamika nelinearnih fizičkohemijskih i biohemijskih sistema sa modeliranjem i predviđanjem njihovih ponašanja pod neravnotežnim uslovima (RS-MESTD-Basic Research (BR or ON)-172015)
DOI: 10.1016/j.chaos.2016.03.013
ISSN: 0960-0779
WoS: 000377229500011
Scopus: 2-s2.0-84962221217
Institucija/grupa
PharmacyTY - 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 . .