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Synchronization in the presence of distributed delays

2012/06/11 by Lucas Wetzel, Wetzel, Lucas, Luis G. Morelli +7
Computer Science · #Chaotic Dynamics (nlin.CD) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Network Time Synchronization Technologies #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1206.2288

openalex publication_date 2012/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean of the delay distribution. However, synchronization dynamics is sensitive to the shape of the distribution. In the presence of coupling delays, the synchronization rate can be maximal for a specific value of the coupling strength.

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