2 papers
nlin.CD2026
Slow spectral dynamics of shot noise in the Kuramoto model: the role of microscopic regularity
S. Yu. Kirillov, V. V. Klinshov
Finite-size effects in the Kuramoto model are known to induce collective fluctuations even below the critical coupling, where the thermodynamic limit predicts complete asynchrony.…
nlin.CD2025
Collective oscillations in the finite-size Kuramoto model below the critical coupling: shot-noise approach
Sergei Kirillov, Vladimir Klinshov
The Kuramoto model, a paradigmatic framework for studying synchronization, exhibits a transition to collective oscillations only above a critical coupling strength in the thermodyn…