Optimization of synchronization in gradient clustered networks

Abstract

We consider complex clustered networks with a gradient structure, where sizes of the clusters are distributed unevenly. Such networks describe more closely actual networks in biophysical systems and in technological applications than previous models. Theoretical analysis predicts that the network synchronizability can be optimized by the strength of the gradient field but only when the gradient field points from large to small clusters. A remarkable finding is that, if the gradient field is sufficiently strong, synchronizability of the network is mainly determined by the properties of the subnetworks in the two largest clusters. These results are verified by numerical eigenvalue analysis and by direct simulation of synchronization dynamics on coupled-oscillator networks.

PRE, 76, 056113 (2007)

References in corpus (8)

• Hierarchical organization of modularity in metabolic networks
• Synchronization reveals topological scales in complex networks
• Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
• Enhancing complex-network synchronization
• Synchronization is optimal in non-diagonalizable networks
• Modularity and Extreme Edges of the Internet
• Synchronization in scale-free network with asymmetric coupling
• Maximum Performance at Minimum Cost in Network Synchronization

Cited by in corpus (6)

• Data Based Identification and Prediction of Nonlinear and Complex Dynamical Systems
• Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
• Eigenvector-based analysis of cluster synchronization in general complex networks of coupled chaotic oscillators
• Effects of gradient coupling on amplitude death in nonidentical oscillators
• Synchronization of coupled metronomes on two layers
• Evolutionary Subnetworks in Complex Systems