Local synchronization in complex networks of coupled oscillators
Abstract
We investigate the effects that network topology, natural frequency distribution, and system size have on the path to global synchronization as the overall coupling strength between oscillators is increased in a Kuramoto network. In particular, we study the scenario recently found by Gómez-Gardeñes et al. [Phys. Rev. E 73, 056124 (2006)] in which macroscopic global synchronization emerges through a process whereby many small synchronized clusters form, grow, and merge, eventually leading to a macroscopic giant synchronized component. Our main result is that this scenario is robust to an increase in the number of oscillators or a change in the distribution function of the oscillators’ natural frequencies, but becomes less prominent as the number of links per oscillator increases.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 01, 2011
- Source ID
- 10.1063/1.3581168
Entities
People
- Edward Ott
- John Stout
- Matthew Whiteway
- Michelle Girvan
- Thomas M. Antonsen Jr.
Organizations
- North Carolina State University
- Office of Naval Research
- University of Maryland
- University of Oklahoma