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
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 .
