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Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence
I N Bubanja1, S Maćešić1, A Ivanović-Šašić2
1Faculty of Physical Chemistry, University of Belgrade, Studentski trg 12 - 16, RS-11000 Belgrade. itana.bubanja@ffh.bg.ac.rs.
Physical Chemistry Chemical Physics : PCCP
|March 23, 2016
Summary
Intermittent oscillations in the Bray-Liebhafsky reaction were observed within a specific temperature range. These chaotic behaviors exhibit deterministic patterns, revealing underlying regularities in complex systems.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Chaos theory
Background:
- The Bray-Liebhafsky (BL) reaction is a model system for studying complex chemical dynamics.
- Intermittent oscillations, characterized by bursts and gaps, represent a complex dynamic state.
- Understanding chaotic behavior is crucial for predicting and controlling chemical reactions.
Purpose of the Study:
- To investigate intermittent oscillations in the BL reaction under controlled temperature variations.
- To characterize the emergence and properties of these oscillations.
- To identify deterministic regularities within the chaotic behavior.
Main Methods:
- Performing the BL reaction in a continuous stirred-tank reactor (CSTR).
- Systematically varying temperature within a narrow range (61.0 °C to 63.1 °C).
- Analyzing oscillation characteristics, including burst and gap durations, and their statistical distributions.
Main Results:
- Intermittent oscillations were observed between 61.0 °C and 63.1 °C.
- A linear relationship was found between burst and gap durations as a function of temperature.
- The number of bursts/gaps per unit time and Lyapunov exponents followed normal distribution functions with temperature.
Conclusions:
- The study identified specific temperature ranges for the emergence of intermittent oscillations and their transition from regular oscillations.
- Deterministic relationships were established for chaotic parameters, indicating predictable behavior.
- Regularities were found in the chaotic dynamics of intermittent oscillations, offering insights into complex systems.
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