2014/06/30 by Carolin Wille, Judith Lehnert, Eckehard Schöll · 29 citations
Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Biology #Complex network #Computer network #Computer science #Control theory (sociology) #Distribution (mathematics) #Excitatory postsynaptic potential #Inhibitory postsynaptic potential #Mathematical analysis #Mathematics #Network topology #Neural Networks Stability and Synchronization #Neuroscience #Nonlinear Dynamics and Pattern Formation #Physics #Stability (learning theory) #Statistical physics #Synchronization (alternating current) #Topology (electrical circuits) #nlin.AO #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.90.032908
published in Physical Review E 90(3), 032908 (American Physical Society)
openalex publication_date 2014/09/09 · arxiv created 2014/09/15 · arxiv updated 2014/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the combined effects of distributed delay and the balance between excitatory and inhibitory nodes on the stability of synchronous oscillations in a network of coupled Stuart-Landau oscillators. To this end a symmetric network model is proposed for which the stability can be investigated analytically. It is found that beyond a critical inhibition ratio, synchronization tends to be unstable. However, increasing distributional widths can counteract this trend, leading to multiple resynchronization transitions at relatively high inhibition ratios. The extended applicability of the results is confirmed by numerical studies on asymmetrically perturbed network topologies. All investigations are performed on two distribution types, a uniform distribution and a Γ distribution.