Kiss István Z, Hudson John L
Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, VA 22904-4741, USA.
Chaos. 2003 Sep;13(3):999-1009. doi: 10.1063/1.1586551.
Experiments on an array of 64 globally coupled chaotic electrochemical oscillators were carried out. The array is heterogeneous due to small variations in the properties of the electrodes and there is also a small amount of noise. Over some ranges of the coupling parameter, dynamical clustering was observed. The precision-dependent cluster configuration is analyzed using hierarchical cluster trees. The cluster configurations varied with time: spontaneous changes of number of clusters and their configurations were detected. Simple transitions occurred with the switch of a single element or groups of elements. During more complicated transitions subclusters were exchanged among clusters but original cluster configurations were revisited. At weaker coupling the system itinerated among lower-dimensional quasistationary chaotic two-cluster states and higher-dimensional states with many clusters. In this region the transitions showed characteristics of on-off intermittency.
对由64个全局耦合混沌电化学振荡器组成的阵列进行了实验。由于电极特性存在微小差异，该阵列是异质的，并且还存在少量噪声。在耦合参数的某些范围内，观察到了动态聚类现象。使用层次聚类树分析了与精度相关的聚类配置。聚类配置随时间变化：检测到聚类数量及其配置的自发变化。单个元素或元素组的切换会发生简单转变。在更复杂的转变过程中，子聚类在聚类之间交换，但会重新回到原始聚类配置。在较弱耦合时，系统在低维准静态混沌双聚类状态和具有多个聚类的高维状态之间游走。在该区域，转变表现出开关间歇性的特征。
