Volume 141, Number 5, March 2023
|Number of page(s)||6|
|Section||Fluid and nonlinear dynamics|
|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: email@example.com (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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.