2003/06/19 by Marc Timme, Fred Wolf, T. Geisel +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Complex network #Computer science #Coupling (piping) #Coupling strength #Functional Brain Connectivity Studies #Mathematics #Matrix (chemical analysis) #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Random matrix #Statistical physics #Synchronization (alternating current) #Synchronization networks #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.stat-mech #q-bio.NC
paper · pdf · doi:10.1103/physrevlett.92.074101
published as Phys. Rev. Lett. 92, 074101 (2004) · 5 pages, 3 figures
arxiv created 2003/06/19 · openalex publication_date 2004/02/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study collective synchronization of pulse-coupled oscillators interacting on asymmetric random networks. We demonstrate that random matrix theory can be used to accurately predict the speed of synchronization in such networks in dependence on the dynamical and network parameters. Furthermore, we show that the speed of synchronization is limited by the network connectivity and remains finite, even if the coupling strength becomes infinite. In addition, our results indicate that synchrony is robust under structural perturbations of the network dynamics.