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Synchronized bursts following instability of synchronous spiking in chaotic neuronal networks

Mikhail V. Ivanchenko·Grigory V. Osipov·Vladimir D. Shalfeev·Jurgen Kurths
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Abstract

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose synchronization at stronger coupling via spatio-temporal intermittency. The latter transition triggers multiple-timescale dynamics, which results in synchronized bursting with a fractal-like spatio-temporal pattern of spiking. Implementation of an appropriate technique of separating oscillations on different time-scales allows for quantitative analysis of this phenomenon. We show, that this phenomenon is generic for various network topologies from regular to small-world and scale-free ones and for different types of coupling.

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Mikhail V. Ivanchenko, Grigory V. Osipov, Vladimir D. Shalfeev, Jurgen Kurths. 2006-01-11. Synchronized bursts following instability of synchronous spiking in chaotic neuronal networks. https://arxiv.org/abs/nlin/0601023

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