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.
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 Education, Science and Technological Development, Republic of Serbia, Grant no. 451-03-68/2020-14/200026 (University of Belgrade, Institute of Chemistry, Technology and Metallurgy - IChTM) (RS-200026)
- Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 451-03-68/2020-14/200146 (University of Belgrade, Faculty of Physical Chemistry) (RS-200146)