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Tourbillion in the phase space of the Bray-Liebhafsky nonlinear oscillatory reaction and related multiple-time-scale model

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2013
TourbillioninthePhaseSpaceoftheBray-Liebhafsky.pdf (535.5Kb)
Authors
Čupić, Željko
Ivanović-Šašić, Ana
Anić, Slobodan
Stankovic, Branislav
Maksimović, Jelena
Kolar-Anić, Ljiljana
Schmitz, Guy
Article (Published version)
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Abstract
The mixed-mode dynamical states found experimentally in the concentration phase space of the iodate catalyzed hydrogen peroxide decomposition (The Bray-Liebhafsky oscillatory reaction) are discussed theoretically in a related multiple-time-scale model, from the viewpoint of tourbillion. With aim to explain the mixed-mode oscillations obtained by numerical simulations of the various dynamical states of a model for the Bray-Liebhafsky reaction under CSTR conditions, the folded singularity points on the critical manifold of the full system and Andronov-Hopf bifurcation of the fast subsystem are calculated. The interaction between those singularities causes occurrence of tourbillion structure.
Source:
Match-Communications in Mathematical and in Computer Chemistry, 2013, 69, 3, 805-830
Publisher:
  • Univ Kragujevac, Fac Science, Kragujevac
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)

ISSN: 0340-6253

WoS: 000324154300023

[ Google Scholar ]
11
Handle
https://hdl.handle.net/21.15107/rcub_cer_1183
URI
https://cer.ihtm.bg.ac.rs/handle/123456789/1183
Collections
  • Radovi istraživača / Researchers' publications
Institution/Community
IHTM
TY  - JOUR
AU  - Čupić, Željko
AU  - Ivanović-Šašić, Ana
AU  - Anić, Slobodan
AU  - Stankovic, Branislav
AU  - Maksimović, Jelena
AU  - Kolar-Anić, Ljiljana
AU  - Schmitz, Guy
PY  - 2013
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1183
AB  - The mixed-mode dynamical states found experimentally in the concentration phase space of the iodate catalyzed hydrogen peroxide decomposition (The Bray-Liebhafsky oscillatory reaction) are discussed theoretically in a related multiple-time-scale model, from the viewpoint of tourbillion. With aim to explain the mixed-mode oscillations obtained by numerical simulations of the various dynamical states of a model for the Bray-Liebhafsky reaction under CSTR conditions, the folded singularity points on the critical manifold of the full system and Andronov-Hopf bifurcation of the fast subsystem are calculated. The interaction between those singularities causes occurrence of tourbillion structure.
PB  - Univ Kragujevac, Fac Science, Kragujevac
T2  - Match-Communications in Mathematical and in Computer Chemistry
T1  - Tourbillion in the phase space of the Bray-Liebhafsky nonlinear oscillatory reaction and related multiple-time-scale model
VL  - 69
IS  - 3
SP  - 805
EP  - 830
UR  - https://hdl.handle.net/21.15107/rcub_cer_1183
ER  - 
@article{
author = "Čupić, Željko and Ivanović-Šašić, Ana and Anić, Slobodan and Stankovic, Branislav and Maksimović, Jelena and Kolar-Anić, Ljiljana and Schmitz, Guy",
year = "2013",
abstract = "The mixed-mode dynamical states found experimentally in the concentration phase space of the iodate catalyzed hydrogen peroxide decomposition (The Bray-Liebhafsky oscillatory reaction) are discussed theoretically in a related multiple-time-scale model, from the viewpoint of tourbillion. With aim to explain the mixed-mode oscillations obtained by numerical simulations of the various dynamical states of a model for the Bray-Liebhafsky reaction under CSTR conditions, the folded singularity points on the critical manifold of the full system and Andronov-Hopf bifurcation of the fast subsystem are calculated. The interaction between those singularities causes occurrence of tourbillion structure.",
publisher = "Univ Kragujevac, Fac Science, Kragujevac",
journal = "Match-Communications in Mathematical and in Computer Chemistry",
title = "Tourbillion in the phase space of the Bray-Liebhafsky nonlinear oscillatory reaction and related multiple-time-scale model",
volume = "69",
number = "3",
pages = "805-830",
url = "https://hdl.handle.net/21.15107/rcub_cer_1183"
}
Čupić, Ž., Ivanović-Šašić, A., Anić, S., Stankovic, B., Maksimović, J., Kolar-Anić, L.,& Schmitz, G.. (2013). Tourbillion in the phase space of the Bray-Liebhafsky nonlinear oscillatory reaction and related multiple-time-scale model. in Match-Communications in Mathematical and in Computer Chemistry
Univ Kragujevac, Fac Science, Kragujevac., 69(3), 805-830.
https://hdl.handle.net/21.15107/rcub_cer_1183
Čupić Ž, Ivanović-Šašić A, Anić S, Stankovic B, Maksimović J, Kolar-Anić L, Schmitz G. Tourbillion in the phase space of the Bray-Liebhafsky nonlinear oscillatory reaction and related multiple-time-scale model. in Match-Communications in Mathematical and in Computer Chemistry. 2013;69(3):805-830.
https://hdl.handle.net/21.15107/rcub_cer_1183 .
Čupić, Željko, Ivanović-Šašić, Ana, Anić, Slobodan, Stankovic, Branislav, Maksimović, Jelena, Kolar-Anić, Ljiljana, Schmitz, Guy, "Tourbillion in the phase space of the Bray-Liebhafsky nonlinear oscillatory reaction and related multiple-time-scale model" in Match-Communications in Mathematical and in Computer Chemistry, 69, no. 3 (2013):805-830,
https://hdl.handle.net/21.15107/rcub_cer_1183 .

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