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Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations

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2013
Authors
Stanković, Branislav
Čupić, Željko
Pejić, Nataša
Kolar-Anić, Ljiljana
Article (Published version)
Metadata
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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 bifurcation
Source:
Journal of Applied Nonlinear Dynamics, 2013, 2, 3, 285-301
Publisher:
  • L and H Scientific Publishing, LLC
Funding / 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)

DOI: 10.5890/JAND.2013.08.004

ISSN: 2164-6457

Scopus: 2-s2.0-85010320713
[ Google Scholar ]
3
URI
https://farfar.pharmacy.bg.ac.rs/handle/123456789/2031
Collections
  • Radovi istraživača / Researchers’ publications
Institution/Community
Pharmacy
TY  - JOUR
AU  - Stanković, Branislav
AU  - Čupić, Željko
AU  - Pejić, Nataša
AU  - Kolar-Anić, Ljiljana
PY  - 2013
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2031
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 = "Stanković, 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"
}
Stanković, 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
Stanković 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 .
Stanković, 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 . .

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