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Updated: Jun 22, 2026
06:51
Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
Published on: August 21, 2018
Spontaneously periodic wave generation in coupled excitable media
Lei Zhang1, Shengli Zhang, Huimin Tong
1Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China.
Summary
This study presents a modified reaction-diffusion model demonstrating self-propagating wave trains in coupled excitable media. The research explores pattern formation and dynamics influenced by system parameters and coupling constants.
Area of Science:
- Theoretical physics
- Chemical kinetics
- Mathematical modeling
Background:
- Reaction-diffusion systems are fundamental to understanding wave propagation in various natural and artificial systems.
- Excitable media exhibit complex spatio-temporal dynamics, including wave generation and propagation.
- Coupling multiple excitable systems can lead to emergent behaviors not present in individual components.
Purpose of the Study:
- To theoretically investigate a modified reaction-diffusion model by coupling two ideal excitable media.
- To analyze the self-propagation of reaction-diffusion wave trains in a simulated homogeneous system.
- To explore the influence of model parameters and dynamic constants on oscillation patterns and complex pattern formation.
Main Methods:
- Development and theoretical analysis of a modified reaction-diffusion model.
- Simulation of coupled ideal excitable media systems.
- Investigation of parameter dependence for oscillation patterns.
- Analysis of dynamic constants' influence on coupled system behavior.
Main Results:
- Observed self-propagating reaction-diffusion wave trains without external force after initial stimulation.
- Identified dependence of oscillation patterns on model parameters.
- Demonstrated the influence of differing dynamic constants on the coupled systems' dynamics.
- Generated and presented complex two-dimensional spatio-temporal patterns.
- Found analogous phenomena in models of catalytic CO oxidation on Pt(110) and cardiac tissue.
Conclusions:
- The modified reaction-diffusion model effectively simulates self-organizing wave propagation in coupled excitable media.
- System parameters and coupling strengths significantly dictate the emergent spatio-temporal dynamics and pattern complexity.
- The model's findings have relevance to understanding phenomena in catalysis and biological systems like cardiac tissue.
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