Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Homogeneous delays in the Kuramoto model with time-variable parameters
AU - Barabash, Miraslau
AU - Petkoski, Spase
AU - Stefanovska, Aneta
PY - 2014/11/3
Y1 - 2014/11/3
N2 - The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the original system, the external forcing, and the delays. This complex low-dimensional dynamics is described, uncovering an echo effect near the synchronization threshold. Hence, the delayed couplings substantially alter the dynamics of what is an open system and should be taken into consideration, depending on the ensemble’s evolution time scale. We also introduce a first-harmonic approximation for the evolution of the mean field under harmonic forcing, valid for any delays and forcing of a coherent population.
AB - The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the original system, the external forcing, and the delays. This complex low-dimensional dynamics is described, uncovering an echo effect near the synchronization threshold. Hence, the delayed couplings substantially alter the dynamics of what is an open system and should be taken into consideration, depending on the ensemble’s evolution time scale. We also introduce a first-harmonic approximation for the evolution of the mean field under harmonic forcing, valid for any delays and forcing of a coherent population.
KW - Kuramoto model
KW - synchronization
KW - delays
KW - forcing
KW - nonautonomous systems
U2 - 10.1103/PhysRevE.90.052903
DO - 10.1103/PhysRevE.90.052903
M3 - Journal article
VL - 90
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 5
M1 - 052903
ER -