Characteristics of cluster formation in a population of globally coupled electrochemical oscillators: An experiment-based phase model approach

Abstract

We show that cluster formation in interacting oscillators can be characterized using phase models that are developed from direct experiments with a single oscillator. One- and two-cluster states are analyzed in the phase model; the description is verified in independent experiments in sets of chemical oscillators. The experiment-based model properly describes the occurrence of one- and two-clusters; in addition, it is shown that the most stable two-cluster state exists with a balanced configuration.