Synchronization in an evolving network
1 The Institute of Mathematical Sciences, CIT Campus - Taramani, Chennai 600113, India
2 Harish-Chandra Research Institute - Chhatnag Raod, Jhunsi, Allahabad 211019, India
Received: 13 May 2015
Accepted: 2 September 2015
In this work we study the dynamics of Kuramoto oscillators on a stochastically evolving network whose evolution is governed by the phases of the individual oscillators and degree distribution. Synchronization is achieved after a threshold connection density is reached. This cumulative effect of topology and dynamics has many real-world implications, where synchronization in a system emerges as a collective property of its components in a self-organizing manner. The synchronous state remains stable as long as the connection density remains above the threshold value, with additional links providing resilience against network fluctuations.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 64.60.aq – Networks / 05.40.Ca – Noise
© EPLA, 2015