Unexpected synchronization

Complex phase space of a simple synchronization model

“…By this dynamic, each oscillating unit individually aims to achieve a total output intensity as close to f * as possible, based on their instantaneous measurements of the output level. As a side effect of this optimization procedure, synchronization can emerge: the total output intensity of the system becomes a periodic function and the units will flash in unison [14,15,16,17].…”

“…Some of these variations have been previously shown to also lead to synchronization. In [17] a version of the model with a duration dark phase and a variable duration lit phase was studied, while in [16] it was shown that synchronization emerges also when using multimodal oscillators. The lit phase can occur at the beginning or at the end of the oscillation period, leading to different behaviours.…”

“…It was inspired by the study of rhythmic applause [2,3]. Modifications of this basic model were studied in several subsequent papers [15,16,17], by using numerical modelling or an experimental realization of the system [16]. In this model, the oscillators are coupled through emitted pulses, similarly to integrate and fire type models.…”

“…Previous numerical studies performed on different variations of this model have shown that for certain parameter values the ensemble of bimodal oscillators will partially synchronize and produce a periodic output signal [14,15,16,17]. The studies were performed as a function of the randomness of the periods of the modes and the threshold value.…”

Synchronization of flashing electronic oscillators

“…For model I the results were published in [5], [12] and [11]. For model II the results are discussed in [13]. In theses computational studies a broad variety of * and * parameters were considered.…”