Structures of chaos in open reaction systems

By numerically simulating the Bray-Liebhafsky (BL) reaction (the hydrogen peroxide decomposition in the presence of hydrogen and iodate ions) in a continuously fed well stirred tank reactor (CSTR), we find "structured" types of chaos emerging in regular order with respect to flow rate as t...

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Published inPhysical chemistry chemical physics : PCCP Vol. 13; no. 45; pp. 20162 - 20171
Main Authors IVANOVIE-SASIC, A. Z, MARKOVIC, V. M, ANIC, S. R, KOLAR-ANIC, Lj. Z, CUPIC, Z. D
Format Journal Article
LanguageEnglish
Published Cambridge Royal Society of Chemistry 07.12.2011
Subjects
Chaos theory
Chemistry
Evolution
Exact sciences and technology
General and physical chemistry
Hydrogen peroxide
Initial conditions
Oscillations
Reactors
Recognition
Tanks
Flow rate
Hydrogen peroxide
Initial condition
Dynamics
Oscillation
Open systems
Bifurcation
Decomposition
Hydrogen ion
Structure
Stirred tank reactor
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Summary:By numerically simulating the Bray-Liebhafsky (BL) reaction (the hydrogen peroxide decomposition in the presence of hydrogen and iodate ions) in a continuously fed well stirred tank reactor (CSTR), we find "structured" types of chaos emerging in regular order with respect to flow rate as the control parameter. These chaotic "structures" appear between each two successive periodic states, and have forms and evolution resembling to the neighboring periodic dynamics. More precisely, in the transition from period-doubling route to chaos to the arising periodic mixture of different mixed-mode oscillations, we are able to recognize and qualitatively and quantitatively distinguish the sequence of "period-doubling" chaos and chaos consisted of mixed-mode oscillations (the "mixed-mode structured" chaos), both appearing in regular order between succeeding periodic states. Additionally, between these types of chaos, the chaos without such recognizable "structures" ("unstructured" chaos) is also distinguished. Furthermore, all transitions between two successive periodic states are realized through bifurcation of chaotic states. This scenario is a universal feature throughout the whole mixed-mode region, as well as throughout other mixed-mode regions obtained under different initial conditions.
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ISSN:1463-9076
1463-9084
DOI:10.1039/c1cp22496d