Enhancement of noise correlation for noise-induced synchronization of limit-cycle oscillators by threshold filtering

Abstract

Nonlinear oscillators driven by correlated noisy signals can synchronize without direct mutual interactions. Here we show that correlation between noisy signals can be enhanced by applying a threshold filter, and the filtered signals can be used to improve noise-induced synchronization. We derive analytical expressions for the correlation coefficient between the filtered signals, and, using simple examples, we demonstrate that the correlation can actually be enhanced and the synchronization can be improved by the threshold filtering in some cases.