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arXiv · 1409.1067

The role of intermediaries in the synchronization of pulse-coupled oscillators

Rodrigo A. García·Nicolás Rubido·Arturo C. Marti·Cecilia Cabeza
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Abstract

The role of intermediaries in the synchronization of small groups of light controlled oscillators (LCO) is addressed. A single LCO is a two-time-scale phase oscillator. When pulse-coupling two LCOs, the synchronization time decreases monotonously as the coupling strength increases, independent of the initial conditions and frequency detuning. In this work we study numerically the effects that a third LCO induces to the collective behavior of the system. We analyze the new system by dealing with directed heterogeneous couplings among the units. We report a novel and robust phenomenon, absent when coupling two LCOs, which consists of a discontinuous relationship between the synchronization time and coupling strength or initial conditions. The mechanism responsible for the appearance of such discontinuities is discussed.

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Rodrigo A. García, Nicolás Rubido, Arturo C. Marti, Cecilia Cabeza. 2014-09-03. The role of intermediaries in the synchronization of pulse-coupled oscillators. https://doi.org/10.1140/epjst%2Fe2014-02295-6

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