Self-Sustaining Oscillations in Complex Networks of Excitable Elements

Details Self-Sustaining Oscillations in Complex Networks of Excitable Elements Self-Sustaining Oscillations in Complex Networks of Excitable Elements

2010-09-02

arxiv.org/abs/1009.0537v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 figures included, submitted to Phys. Rev. Lett

Scientific paper

Random networks of symmetrically coupled, excitable elements can self-organize into coherently oscillating states if the networks contain loops (indeed loops are abundant in random networks) and if the initial conditions are sufficiently random. In the oscillating state, signals propagate in a single direction and one or a few network loops are selected as driving loops in which the excitation circulates periodically. We analyze the mechanism, describe the oscillating states, identify the pacemaker loops and explain key features of their distribution. This mechanism may play a role in epileptic seizures.

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