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Oscillatory microcells connected on a ring by chemical waves
Dmitry A Safonov1, Vladimir K Vanag1
1Centre for Nonlinear Chemistry, Immanuel Kant Baltic Federal University, 14 A. Nevskogo str., Kaliningrad 236041, Russia.
Chaos (Woodbury, N.Y.)
|July 9, 2021
Summary
This study analyzes four coupled Belousov-Zhabotinsky (BZ) microcells, revealing new dynamic modes. Inhibitory coupling broadens multi-rhythmicity, while excitatory coupling introduces novel asymmetrical modes.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Complex systems
Background:
- The Belousov-Zhabotinsky (BZ) reaction is a classic example of an oscillating chemical reaction exhibiting complex dynamics.
- Coupled oscillating systems can display emergent behaviors not present in individual components.
Purpose of the Study:
- To investigate the dynamics of four coupled BZ microcells.
- To compare new dynamic modes with previously observed modes in similar systems.
- To analyze the effects of inhibitory and excitatory coupling on system dynamics.
Main Methods:
- Analysis using partial differential equations.
- Modeling of coupled microcells arranged in a circle.
- Simulation of inhibitory coupling using hydrophobic filters (Br2 passage).
- Simulation of excitatory coupling using a hypothetical filter (HBrO2 passage).
Main Results:
- Inhibitory coupling resulted in broader regions of multi-rhythmicity compared to previous studies.
- Excitatory coupling yielded four symmetrical modes similar to previous findings.
- Excitatory coupling also revealed numerous new asymmetrical dynamic modes.
Conclusions:
- Coupled BZ microcells exhibit rich and complex dynamics.
- The type of coupling significantly influences the emergent dynamic modes.
- New asymmetrical modes in excitatory coupling demonstrate novel behaviors in chemical oscillator networks.
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