2006/05/22 by Pablo M. Gleiser, P. M. Gleiser, Damián H. Zanette +1 · 1 citation
Computer Science · Neuroscience · Physics and Astronomy · #Cluster analysis #Coherence (philosophical gambling strategy) #Control theory (sociology) #Coupling (piping) #Neural Networks Stability and Synchronization #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Phase (matter) #Phase synchronization #Synchronization (alternating current) #Synchronization networks #Topology (electrical circuits) #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2006-00362-y
published as Eur. Phys. J. B 53, 233-238 (2006) · 6 pages, 7 figures
arxiv created 2006/05/22 · openalex publication_date 2006/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.