Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence
Abstract
Dynamic states with intermittent oscillations consist of a chaotic mixture of large
amplitude relaxation oscillations grouped in bursts, and between them, small-amplitude
sinusoidal oscillations, or even the quiescent parts, known as gaps. In this study,
intermittent dynamic states were generated in Bray–Liebhafsky (BL) oscillatory reaction in
an isothermal continuously-fed, well-stirred tank reactor (CSTR) controled by changes of
specific flow rate. The intermittent states were found between two regular periodic states
and obtained for specific flow rate values from 0.020 to 0.082 min−1 . Phenomenological
analysis based on the quantitative characteristics of intermittent oscillations, as well
as, the largest Lyapunov exponents calculated from experimentally obtained time
series, both indicated the same type of behavior. Namely, fully developed chaos
arises when approaching to the vertical asymptote which is somewhere between two
bifurcations. Hence, this study proposes desc...ribed route to fully developed chaos in
the Bray-Liebhafsky oscillatory reaction as an explanation for experimentally observed
intermittent dynamics. This is in correlation with our previously obtained results where the
most chaotic intermittent chaos was achieved between the periodic oscillatory dynamic
state and stable steady state, generated in BL under CSTR conditions by varying
temperature and inflow potassium iodate concentration. Moreover, it was shown that,
besides the largest Lyapunov exponent, analysis of chaos in experimentally obtained
intermittent states can be achieved by a simpler approach which involves using the
quantitative characteristics of the BL reaction evolution, that is, the number and length
of gaps and bursts obtained for the various values of specific flow rates.
Keywords:
intermittent chaos / Bray–Liebhafsky oscillatory reaction / Lyapunov exponents / continuously-fed wellstirred tank reactor (CSTR) / non-linear dynamicsSource:
Frontiers in chemistry, 2020, 8, 560274-Publisher:
- Frontiers Media S.A.
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)
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200026 (University of Belgrade, Institute of Chemistry, Technology and Metallurgy - IChTM) (RS-200026)
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200146 (University of Belgrade, Faculty of Physical Chemistry) (RS-200146)
Collections
Institution/Community
IHTMTY - JOUR AU - Bubanja, Itana Nuša AU - Ivanović-Šašić, Ana AU - Čupić, Željko AU - Anić, Slobodan AU - Kolar-Anić, Ljiljana PY - 2020 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/3701 AB - Dynamic states with intermittent oscillations consist of a chaotic mixture of large amplitude relaxation oscillations grouped in bursts, and between them, small-amplitude sinusoidal oscillations, or even the quiescent parts, known as gaps. In this study, intermittent dynamic states were generated in Bray–Liebhafsky (BL) oscillatory reaction in an isothermal continuously-fed, well-stirred tank reactor (CSTR) controled by changes of specific flow rate. The intermittent states were found between two regular periodic states and obtained for specific flow rate values from 0.020 to 0.082 min−1 . Phenomenological analysis based on the quantitative characteristics of intermittent oscillations, as well as, the largest Lyapunov exponents calculated from experimentally obtained time series, both indicated the same type of behavior. Namely, fully developed chaos arises when approaching to the vertical asymptote which is somewhere between two bifurcations. Hence, this study proposes described route to fully developed chaos in the Bray-Liebhafsky oscillatory reaction as an explanation for experimentally observed intermittent dynamics. This is in correlation with our previously obtained results where the most chaotic intermittent chaos was achieved between the periodic oscillatory dynamic state and stable steady state, generated in BL under CSTR conditions by varying temperature and inflow potassium iodate concentration. Moreover, it was shown that, besides the largest Lyapunov exponent, analysis of chaos in experimentally obtained intermittent states can be achieved by a simpler approach which involves using the quantitative characteristics of the BL reaction evolution, that is, the number and length of gaps and bursts obtained for the various values of specific flow rates. PB - Frontiers Media S.A. T2 - Frontiers in chemistry T1 - Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence VL - 8 SP - 560274 DO - 10.3389/fchem.2020.560274 ER -
@article{ author = "Bubanja, Itana Nuša and Ivanović-Šašić, Ana and Čupić, Željko and Anić, Slobodan and Kolar-Anić, Ljiljana", year = "2020", abstract = "Dynamic states with intermittent oscillations consist of a chaotic mixture of large amplitude relaxation oscillations grouped in bursts, and between them, small-amplitude sinusoidal oscillations, or even the quiescent parts, known as gaps. In this study, intermittent dynamic states were generated in Bray–Liebhafsky (BL) oscillatory reaction in an isothermal continuously-fed, well-stirred tank reactor (CSTR) controled by changes of specific flow rate. The intermittent states were found between two regular periodic states and obtained for specific flow rate values from 0.020 to 0.082 min−1 . Phenomenological analysis based on the quantitative characteristics of intermittent oscillations, as well as, the largest Lyapunov exponents calculated from experimentally obtained time series, both indicated the same type of behavior. Namely, fully developed chaos arises when approaching to the vertical asymptote which is somewhere between two bifurcations. Hence, this study proposes described route to fully developed chaos in the Bray-Liebhafsky oscillatory reaction as an explanation for experimentally observed intermittent dynamics. This is in correlation with our previously obtained results where the most chaotic intermittent chaos was achieved between the periodic oscillatory dynamic state and stable steady state, generated in BL under CSTR conditions by varying temperature and inflow potassium iodate concentration. Moreover, it was shown that, besides the largest Lyapunov exponent, analysis of chaos in experimentally obtained intermittent states can be achieved by a simpler approach which involves using the quantitative characteristics of the BL reaction evolution, that is, the number and length of gaps and bursts obtained for the various values of specific flow rates.", publisher = "Frontiers Media S.A.", journal = "Frontiers in chemistry", title = "Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence", volume = "8", pages = "560274", doi = "10.3389/fchem.2020.560274" }
Bubanja, I. N., Ivanović-Šašić, A., Čupić, Ž., Anić, S.,& Kolar-Anić, L.. (2020). Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence. in Frontiers in chemistry Frontiers Media S.A.., 8, 560274. https://doi.org/10.3389/fchem.2020.560274
Bubanja IN, Ivanović-Šašić A, Čupić Ž, Anić S, Kolar-Anić L. Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence. in Frontiers in chemistry. 2020;8:560274. doi:10.3389/fchem.2020.560274 .
Bubanja, Itana Nuša, Ivanović-Šašić, Ana, Čupić, Željko, Anić, Slobodan, Kolar-Anić, Ljiljana, "Intermittent Chaos in the CSTR Bray–Liebhafsky Oscillator-Specific Flow Rate Dependence" in Frontiers in chemistry, 8 (2020):560274, https://doi.org/10.3389/fchem.2020.560274 . .