Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts
Adaptation and Self-Organizing Systems
2018-03-30 v1
Abstract
In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be regulated by substituting time delays by phase shifts at constant collective frequency. For spatially extended systems with time delays, we show that fastest synchronization can occur for intermediate wavelengths, giving rise to novel synchronization scenarios.
Keywords
Cite
@article{arxiv.1803.10966,
title = {Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts},
author = {David J. Jörg and Luis G. Morelli and Saúl Ares and Frank Jülicher},
journal= {arXiv preprint arXiv:1803.10966},
year = {2018}
}
Comments
5 pages, 3 figures