Self-sustaining oscillations in complex networks of excitable elements

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 singl...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2011-03, Vol.83 (3 Pt 2), p.037102-037102, Article 037102
Main Authors: McGraw, Patrick, Menzinger, Michael
Format: Article
Language:English
Subjects:
Models, Theoretical
Periodicity
Stochastic Processes
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Summary: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 periodically circulates. We analyze the mechanism, describe the oscillating states, identify the pacemaker loops, and explain key features of their distribution.
ISSN:1539-3755
1550-2376
DOI:10.1103/physreve.83.037102