The influence of individual natural frequency on the emergence of synchronous motion in coupled metronomes ?

摘要

This paper deals with the emergence of synchronous behavior in a triplet of metronomes coupled through a flexible wooden structure. Using a perturbation method, it is demonstrated that for ‘fast’ metronomes two types of synchronous motion may co-exist, namely complete synchronization and a rotating wave solution. On the other hand, for ‘slow’ metronomes, the synchronous solution becomes unstable and only the rotating wave solution remains locally stable. This is numerically illustrated and experimentally validated.