Synchronization and structure in an adaptive oscillator network

Abstract

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance their mutual synchronization. We show that the evolving network reaches a small-world structure. Its clustering coefficient attains a maximum for an intermediate intensity of the coupling between oscillators, where a rich diversity of synchronized oscillator groups is observed. In the stationary state, these synchronized groups are directly associated with network clusters.

6 pages, 7 figures

References in corpus (5)

• Frequency synchronization in random oscillator network
• Synchronization transition in scale-free networks: Clusters of synchrony
• Clustering and Synchronization of Oscillator Networks
• Evolutionary reconstruction of networks
• Synchronization learning of coupled chaotic maps

Cited by in corpus (8)

• Synchronization in complex networks
• The Kuramoto model in complex networks
• Synchrony-optimized Networks of Non-identical Kuramoto Oscillators
• Spontaneous synchronization of coupled oscillator systems with frequency adaptation
• Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators
• Synchronization in symmetric bipolar population networks
• Design of Easily Synchronizable Oscillator Networks Using the Monte Carlo Optimization Method
• Extracting topological features from dynamical measures in networks of Kuramoto oscillators