Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations
Abstract
The time series obtained by numerical simulations of the model of the Bray-Liebhafsky oscillatory reaction is analyzed under the continuously fed well stirred tank reactor (CSTR) conditions, with the aim to find bifurcation points in which system of Bray- Liebhafsky oscillatory reaction transforms from stable to unstable state and vice versa. Types of bifurcation points, supercritical and subcritical Andronov-Hopf bifurcation and saddle-loop bifurcation are determined from characteristic scaling laws.
Keywords:
Andronov-Hopf bifurcation / Bray-Liehafsky oscillatory reaction / Chemical reaction / Saddle-loop bifurcationSource:
Journal of Applied Nonlinear Dynamics, 2013, 2, 3, 285-301Publisher:
- L and H Scientific Publishing, LLC
Funding / projects:
- Reinforcement of Regional Microsystems and Nanosystems Centre (EU-FP7-205533)
- Micro- Nanosystems and Sensors for Electric Power and Process Industry and Environmental Protection (RS-MESTD-Technological Development (TD or TR)-32008)
- Nanostructured Functional and Composite Materials in Catalytic and Sorption Processes (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45001)
- Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under nonequilibrium conditions (RS-MESTD-Basic Research (BR or ON)-172015)
Collections
Institution/Community
IHTMTY - JOUR AU - Stankovic, Branislav AU - Čupić, Željko AU - Pejić, Nataša AU - Kolar-Anić, Ljiljana PY - 2013 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/1371 AB - The time series obtained by numerical simulations of the model of the Bray-Liebhafsky oscillatory reaction is analyzed under the continuously fed well stirred tank reactor (CSTR) conditions, with the aim to find bifurcation points in which system of Bray- Liebhafsky oscillatory reaction transforms from stable to unstable state and vice versa. Types of bifurcation points, supercritical and subcritical Andronov-Hopf bifurcation and saddle-loop bifurcation are determined from characteristic scaling laws. PB - L and H Scientific Publishing, LLC T2 - Journal of Applied Nonlinear Dynamics T1 - Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations VL - 2 IS - 3 SP - 285 EP - 301 DO - 10.5890/JAND.2013.08.004 ER -
@article{ author = "Stankovic, Branislav and Čupić, Željko and Pejić, Nataša and Kolar-Anić, Ljiljana", year = "2013", abstract = "The time series obtained by numerical simulations of the model of the Bray-Liebhafsky oscillatory reaction is analyzed under the continuously fed well stirred tank reactor (CSTR) conditions, with the aim to find bifurcation points in which system of Bray- Liebhafsky oscillatory reaction transforms from stable to unstable state and vice versa. Types of bifurcation points, supercritical and subcritical Andronov-Hopf bifurcation and saddle-loop bifurcation are determined from characteristic scaling laws.", publisher = "L and H Scientific Publishing, LLC", journal = "Journal of Applied Nonlinear Dynamics", title = "Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations", volume = "2", number = "3", pages = "285-301", doi = "10.5890/JAND.2013.08.004" }
Stankovic, B., Čupić, Ž., Pejić, N.,& Kolar-Anić, L.. (2013). Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations. in Journal of Applied Nonlinear Dynamics L and H Scientific Publishing, LLC., 2(3), 285-301. https://doi.org/10.5890/JAND.2013.08.004
Stankovic B, Čupić Ž, Pejić N, Kolar-Anić L. Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations. in Journal of Applied Nonlinear Dynamics. 2013;2(3):285-301. doi:10.5890/JAND.2013.08.004 .
Stankovic, Branislav, Čupić, Željko, Pejić, Nataša, Kolar-Anić, Ljiljana, "Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations" in Journal of Applied Nonlinear Dynamics, 2, no. 3 (2013):285-301, https://doi.org/10.5890/JAND.2013.08.004 . .