Synchronization-Desynchronization Transitions in Complex Networks: An Interplay of Distributed Time Delay and Inhibitory Nodes

Abstract

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 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. All studies are performed on two distribution types, a uniform distribution and a Gamma distribution.

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Cited by in corpus (6)

• Synchronization of networks of oscillators with distributed delay coupling
• Synchronization Patterns: From Network Motifs to Hierarchical Networks
• Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation
• The effect of distributed time-delays on the synchronization of neuronal networks
• A Local Counter-Regulatory Motif Modulates the Global Phase of Hormonal Oscillations
• Local complexity predicts global synchronization of hierarchically networked oscillators