Experiments on arrays of globally coupled periodic electrochemical oscillators
Experiments on arrays of globally coupled periodic electrochemical oscillators
复制标题
DOI：
10.1021/jp992471h
复制
发表时间：
1999-12-23
影响因子：
3.3
通讯作者：
Hudson, JL
中科院分区：
文献类型：
--
作者：
Kiss, IZ;Wang, W;Hudson, JL
在硫酸中进行了由One到镍电极组成的周期性振荡阵列的实验。考虑了在参数空间的两个区域中分别发生的调和和松弛振荡。增加了并联和串联的外部电阻，以改变振荡器之间的全局耦合程度。由于电极性质的微小变化，该阵列是异质的，并且也存在少量的噪声。在不增加全局耦合的情况下，振子的频率分布很窄。当全局耦合被添加到谐波振荡器阵列时，频率分布变得更窄，直到达到同步；进一步增加使相位聚集在一起。单个元素的动态没有发生质的变化。弛豫振子的耦合导致了更复杂的行为。当全局耦合强度从零增加时，系统有同步的趋势，但随着耦合的增加，这种同步状态被打破。然后会发生包括瞬变星团在内的不规则行为。当耦合较强时，星团变得稳定；这些稳定的星团可以由周期较高的不规则或周期性的单个电流组成。这一区域发生了多稳定性，即可能有多种星团构型。在较高的耦合强度下，当团簇由相等或近似相等数目的振荡器组成时，会发生反相振荡。强耦合使振荡器同步。基于耦合电化学振荡器的模拟再现了许多动力学特征。
Experiments on periodically oscillating arrays consisting of from one to 64 nickel electrodes in sulfuric acid are carried out. Harmonic and relaxation oscillations that occur respectively in two regions of parameter space are considered. External resistors in parallel and series are added to vary the extent of global coupling among the oscillators. The array is heterogeneous due to small variations in the properties of the electrodes, and there is also a small amount of noise. With no added global coupling there is a narrow distribution in frequency of the oscillators. As global coupling is added to the arrays of harmonic oscillators the distribution of frequencies become narrower until synchronization is attained; further increase brings the phases together. There is no qualitative change in the dynamics of an individual element. Coupling of the relaxation oscillators leads to more complicated behavior. As the global coupling strength is increased from zero there is a tendency for the system to synchronize, but this synchronized state then breaks up with increasing coupling. irregular behavior including transient clusters then occurs. At stronger coupling the clusters become stable; these stable clusters can consist of individual currents that are either irregular or periodic with higher period. Multistability occurs in this region, i.e, many cluster configurations are possible. At higher coupling strengths antiphase oscillations occur where the clusters are made up of equal or approximately equal number of oscillators. Strong coupling synchronizes the oscillators. Simulations based on coupled electrochemical oscillators reproduced many of the dynamical features.