Synchronization in networks of slightly nonidentical elements

Abstract

We study synchronization processes in networks of slightly non identical chaotic systems, for which a complete invariant synchronization manifold does not rigorously exist. We show and quantify how a slightly dispersed distribution in parameters can be properly modelled by a noise term affecting the stability of the synchronous invariant solution emerging for identical systems when the parameter is set at the mean value of the original distribution.

4 pages, 5 figures

References in corpus (4)

• Network Synchronization, Diffusion, and the Paradox of Heterogeneity
• Universality in the synchronization of weighted random networks
• Enhancing complex-network synchronization
• Synchronization in scale-free network with asymmetric coupling

Cited by in corpus (3)

• On-off intermittency of thalamo-cortical oscillations in the electroencephalogram of rats with genetic predisposition to absence epilepsy
• Synchronization of moving oscillators in three dimensional space
• Restoration of oscillation in network of oscillators in presence of direct and indirect interactions