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Complex oscillation modes in the Belousov-Zhabotinsky reaction by weak diffusive coupling
Claudia Lenk1, Mario Einax2, J Michael Köhler1
1Institut für Chemie und Biotechnik, Technische Universität Ilmenau, 98684 Ilmenau, Germany.
Physical Review. E
|April 3, 2019
Summary
Complex oscillation modes emerge in coupled Belousov-Zhabotinsky reaction units. These findings, observed in experiments and simulations, suggest a universal behavior in excitable systems like cell tissues and neurons.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Systems biology
Background:
- The Belousov-Zhabotinsky (BZ) reaction is a classic example of a chemical oscillator exhibiting complex dynamic behavior.
- Coupling of oscillating or excitable units can lead to emergent phenomena not present in individual components.
- Understanding coupled excitable systems is crucial for fields ranging from neuroscience to materials science.
Purpose of the Study:
- To investigate the diffusive coupling of oscillating Belousov-Zhabotinsky reaction units in a square lattice.
- To identify conditions under which complex oscillation modes arise in individual units.
- To determine if these complex behaviors are generic to coupled excitable systems.
Main Methods:
- Experimental study of BZ reaction units arranged in a square lattice with controlled spacing.
- Computational simulations using the FitzHugh-Nagumo model to replicate experimental conditions.
- Analysis of oscillation patterns, including multi-periodicity, amplitude modulation, and multi-mode oscillations.
Main Results:
- Complex oscillation modes, including multi-periodic and amplitude-modulated behavior, were observed in individual BZ units at specific sizes and coupling distances.
- These experimental findings were successfully reproduced using simulations of the FitzHugh-Nagumo model.
- Complex oscillation modes were found to occur near the transition from quiescent to coupling-induced oscillations, particularly at weak coupling strengths.
Conclusions:
- The emergence of complex oscillation modes in coupled excitable units is a generic phenomenon.
- This behavior is relevant to understanding collective dynamics in biological systems like excitable cell tissues and neuronal networks.
- The study highlights the importance of coupling strength and proximity in determining the dynamic states of coupled oscillatory systems.
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