In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others following the Kuramoto model. We then study the onset of global phase synchronization and fully characterize the system's dynamics. We also found that the resynchronization time of a perturbed node decays as a power law of its connectivity, providing a simple analytical explanation to this interesting behavior.
EPL (Europhysics Letters)
- Pub Date:
- November 2004
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems
- 7 pages and 4 eps figures, the text has been slightly modified and new references have been included. Final version to appear in Europhysics Letters