2009/08/31 by Chol‐Ung Choe, Chol-Ung Choe, Thomas Dahms +4 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Bifurcation #Cluster (spacecraft) #Combinatorics #Computer science #Control (management) #Control theory (sociology) #Coupling (piping) #Function (biology) #Hopf bifurcation #Materials science #Mathematics #Network topology #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Phase (matter) #Phase synchronization #Physics #Quantum mechanics #Stability (learning theory) #Statistical physics #Synchronization (alternating current) #Synchronization networks #Topology (electrical circuits) #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.81.025205
4 pages, 4 figures
arxiv created 2009/10/29 · openalex publication_date 2010/02/25 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study synchronization in delay-coupled oscillator networks using a master stability function approach. Within a generic model of Stuart-Landau oscillators (normal form of supercritical or subcritical Hopf bifurcation), we derive analytical stability conditions and demonstrate that by tuning the coupling phase one can easily control the stability of synchronous periodic states. We propose the coupling phase as a crucial control parameter to switch between in-phase synchronization or desynchronization for general network topologies or between in-phase, cluster, or splay states in unidirectional rings. Our results are robust even for slightly nonidentical elements of the network.