TY - JOUR
T1 - The role of intermediaries in the synchronization of pulse-coupled oscillators
AU - García, R.A.
AU - Rubido, N.
AU - Martí, A.C.
AU - Cabeza, C.
PY - 2014/12/10
Y1 - 2014/12/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84916618494&partnerID=MN8TOARS
U2 - 10.1140/epjst/e2014-02295-6
DO - 10.1140/epjst/e2014-02295-6
M3 - Article
VL - 223
SP - 2819
EP - 2829
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
ER -