Link-disorder fluctuation effects on synchronization in random networks

Abstract

We consider one typical system of oscillators coupled through disordered link configurations in networks, i.e., a finite population of coupled phase oscillators with distributed intrinsic frequencies on a random network. We investigate collective synchronization behavior, paying particular attention to link-disorder fluctuation effects on the synchronization transition and its finite-size scaling (FSS). Extensive numerical simulations as well as the mean-field analysis have been performed. We find that link-disorder fluctuations effectively induce {\em uncorrelated random} fluctuations in frequency, resulting in the FSS exponent $\bar{\nu }=5/2$, which is identical to that in the globally coupled case (no link disorder) with frequency-disorder fluctuations.

5 pages, 5 figures

References in corpus (9)

• Critical phenomena in complex networks
• Paths to Synchronization on Complex Networks
• Scaling theory of transport in complex networks
• Finite-size scaling in complex networks
• Synchronization transition in scale-free networks: Clusters of synchrony
• Synchronizability determined by coupling strengths and topology on Complex Networks
• Entrainment transition in populations of random frequency oscillators
• Exact Solution of Ising Model on a Small-World Network
• Finite-size scaling of synchronized oscillation on complex networks

Cited by in corpus (8)

• The Kuramoto model in complex networks
• Finite-size scaling, dynamic fluctuations, and hyperscaling relation in the Kuramoto model
• Nature of synchronization transitions in random networks of coupled oscillators
• Extended finite-size scaling of synchronized coupled oscillators
• On the onset of synchronization of Kuramoto oscillators in scale-free networks
• Finite-size scaling in globally coupled phase oscillators with a general coupling scheme
• Validity of annealed approximation in a high-dimensional system
• Analytical foundation for adversarial synchronization control in oscillator networks