Synchronized bursts following instability of synchronous spiking in chaotic neuronal networks

Ivanchenko, Mikhail V.; Osipov, Grigory V.; Shalfeev, Vladimir D.; Kurths, Jurgen

Synchronized bursts following instability of synchronous spiking in chaotic neuronal networks

Authors

Ivanchenko, Mikhail V.

Osipov, Grigory V.

Shalfeev, Vladimir D.

Kurths, Jurgen

Description

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.
4 pages, 5 figures