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Array-enhanced coherence resonance and phase synchronization in a two-dimensional array of excitable chemical
Taiji Okano1, Akane Kitagawa, Kenji Miyakawa
1Department of Applied Physics, Fukuoka University, Fukuoka 814-0180, Japan.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2007
Summary
Array size enhances coherence resonance in excitable elements, improving noise-induced firings and achieving synchronization in weakly coupled oscillators. This phenomenon, array-enhanced coherence resonance, was demonstrated experimentally and simulated numerically.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Complex systems
Background:
- The Belousov-Zhabotinsky reaction is a classic example of an excitable chemical system.
- Excitable media exhibit complex spatiotemporal dynamics, including wave propagation and oscillations.
- External noise can significantly influence the behavior of excitable systems.
Purpose of the Study:
- To investigate the effect of array size on spatiotemporal dynamics in a two-dimensional array of excitable elements subjected to independent external noise.
- To demonstrate array-enhanced coherence resonance and its role in improving noise-induced firings.
- To explore the achievement of synchronization in weakly coupled oscillators via coherence resonance.
Main Methods:
- Experimental realization of a two-dimensional array of excitable elements using the Belousov-Zhabotinsky reaction localized in a gel matrix.
- Application of independent external noise to the array.
- Numerical simulation using a forced Oregonator reaction-diffusion model to reproduce experimental observations.
Main Results:
- Coherence of noise-induced firings improves with increasing array size, demonstrating array-enhanced coherence resonance.
- Synchronization among barely coupled oscillators can be achieved through coherence resonance.
- Experimental results are well-reproduced by the numerical simulation.
Conclusions:
- Array size is a critical factor in controlling coherence and synchronization in noisy excitable systems.
- Array-enhanced coherence resonance offers a mechanism for improving signal transmission and achieving order in complex systems.
- The study provides experimental evidence and a theoretical model for understanding noise-induced phenomena in coupled excitable elements.
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