Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling

Details Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling

2010-11-29

arxiv.org/abs/1011.6347v1

PLoS ONE 6 (2011) e15851

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 9 figures; accepted for publication in PLoS ONE [related work available at http://arxiv.org/abs/0907.4961 and http

Scientific paper

10.1371/journal.pone.0015851

This paper investigates the dependence of synchronization transitions of bursting oscillations on the information transmission delay over scale-free neuronal networks with attractive and repulsive coupling. It is shown that for both types of coupling, the delay always plays a subtle role in either promoting or impairing synchronization. In particular, depending on the inherent oscillation period of individual neurons, regions of irregular and regular propagating excitatory fronts appear intermittently as the delay increases. These delay-induced synchronization transitions are manifested as well-expressed minima in the measure for spatiotemporal synchrony. For attractive coupling, the minima appear at every integer multiple of the average oscillation period, while for the repulsive coupling, they appear at every odd multiple of the half of the average oscillation period. The obtained results are robust to the variations of the dynamics of individual neurons, the system size, and the neuronal firing type. Hence, they can be used to characterize attractively or repulsively coupled scale-free neuronal networks with delays.

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