Synchronization of coupled neural oscillators with heterogeneous delays

Abstract

We investigate the effects of heterogeneous delays in the coupling of two excitable neural systems. Depending upon the coupling strengths and the time delays in the mutual and self-coupling, the compound system exhibits different types of synchronized oscillations of variable period. We analyze this synchronization based on the interplay of the different time delays and support the numerical results by analytical findings. In addition, we elaborate on bursting-like dynamics with two competing timescales on the basis of the autocorrelation function.

18 pages, 14 figures

References in corpus (9)

• Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling
• Synchronization transitions on scale-free neuronal networks due to finite information transmission delays
• Delays, connection topology, and synchronization of coupled chaotic maps
• Time-delayed feedback in neurosystems
• Synchronizing distant nodes: a universal classification of networks
• Noise-induced cooperative dynamics and its control in coupled neuron models
• Amplitude death in systems of coupled oscillators with distributed-delay coupling
• Nonlocal mechanism for cluster synchronization in neural circuits
• Chaos synchronization in networks of delay-coupled lasers: Role of the coupling phases

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