Frequency dispersion in the time-delayed Kuramoto model

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Mar;89(3):032905. doi: 10.1103/PhysRevE.89.032905. Epub 2014 Mar 10.

Abstract

We study the synchronization and frequency distribution in networks of time-delayed Kuramoto oscillators with identical natural frequency. It is found that a pronounced frequency dispersion occurs in networks with nonidentical degree distributions. The deviation of the average network frequency from its natural frequency, induced by the time delay, is identified as a necessary component for this phenomenon. Altogether this results in states intermediate between perfect synchronization and complete incoherence.

Publication types

  • Research Support, Non-U.S. Gov't