| Issue |
EPL
Volume 141, Number 5, March 2023
|
|
|---|---|---|
| Article Number | 53001 | |
| Number of page(s) | 6 | |
| Section | Fluid and nonlinear dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/acbdba | |
| Published online | 06 March 2023 | |
Statistics of synchronization times in Kuramoto oscillators
Indian Institute of Science Education and Research Kolkata - Mohanpur 741246, India
(a) E-mail: anandamohan@iiserkol.ac.in (corresponding author)
Received: 15 January 2023
Accepted: 21 February 2023
The synchronization of coupled systems is a widely studied phenomenon in nonlinear science. As a completely synchronized state emerges asymptotically, it is pertinent to quantify the statistics of the timescales in which it is attained. We study the Kuramoto model, a paradigmatic model of synchronization, and record the time at which the synchronized state is reached for the first time. The First Synchronization Time (FST), on suitable rescaling, exhibits a universal distribution for a wide range of parameter values and even in the presence of noise. We obtain an approximate time evolution of the order parameter using the celebrated Ott-Antonsen ansatz and analytically demonstrate that the FST exhibits a universal Gumbel distribution.
© 2023 EPLA
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