In-Phase, Anti-Phase and Fractured Synchrony in Ring Networks of Coupled Relaxation Electrochemical Oscillators
In-Phase, Anti-Phase and Fractured Synchrony in Ring Networks of Coupled Relaxation Electrochemical Oscillators
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DOI：
10.1021/jp049767u
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发表时间：
2004-04
影响因子：
3.3
通讯作者：
A. Karantonis;M. Pagitsas;Y. Miyakita;S. Nakabayashi
中科院分区：
文献类型：
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作者：
A. Karantonis;M. Pagitsas;Y. Miyakita;S. Nakabayashi
研究了耦合弛豫电化学振荡器的同步模式。在不存在边界的情况下，考虑离散电化学振荡器的环形网络的情况。从连续模型和离散化过程出发，系统地推导了离散耦合电化学振荡器模型。结果表明，在特定条件下，电池是电耦合的，连接是线性的、对称的。此外，耦合强度作为几何网络特性以及周围介质的电学性质的函数被显式地推导出来。对模型方程进行了数值研究，并详细讨论了不同的同步方式。结果还表明，由于快速跃迁和消除了相位或周期差，耦合弛豫电化学振子网络可以完成一些原始的信息处理任务。
The synchronization modes of coupled relaxation electrochemical oscillators are studied. The case of ring networks of discrete electrochemical oscillators is considered where boundaries are not present. A model of discrete coupled electrochemical oscillators is derived systematically from a continuous model and a discretization procedure. It is shown that, under specific conditions, the cells are coupled electrically and the connection is linear and symmetric. Also, the coupling strength is derived explicitly as a function of the geometric network characteristics, as well as the electric properties of the surrounding medium. The model equations are studied numerically, and the different modes of synchronization are discussed in detail. It is also shown that, because of fast transitions and the elimination of phase or period differences, networks of coupled relaxation electrochemical oscillators can perform some primitive information manipulation tasks.