Tourbillion in the phase space of the Bray-Liebhafsky nonlinear oscillatory reaction and related multiple-time-scale model
Authors
Čupić, Željko
Ivanović-Šašić, Ana

Anić, Slobodan
Stankovic, Branislav

Maksimović, Jelena

Kolar-Anić, Ljiljana

Schmitz, Guy
Article (Published version)

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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, 805-830Publisher:
- 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)
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IHTMTY - 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 .