Collective excitability in highly diluted random networks of oscillators

We report on collective excitable events in a highly diluted random network of non-excitable nodes. Excitability arises thanks to a self-sustained local adaptation mechanism that drives the system on a slow timescale across a hysteretic phase transition involving states with different degrees of syn...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2022-10, Vol.32 (10), p.103108-103108
Main Authors: Paolini, Gabriele, Ciszak, Marzena, Marino, Francesco, Olmi, Simona, Torcini, Alessandro
Format: Article
Language:English
Subjects:
Dilution
Frequency distribution
Phase transitions
Resonant frequencies
Synchronism
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Summary:We report on collective excitable events in a highly diluted random network of non-excitable nodes. Excitability arises thanks to a self-sustained local adaptation mechanism that drives the system on a slow timescale across a hysteretic phase transition involving states with different degrees of synchronization. These phenomena have been investigated for the Kuramoto model with bimodal distribution of the natural frequencies and for the Kuramoto model with inertia and a unimodal frequency distribution. We consider global and partial stimulation protocols and characterize the system response for different levels of dilution. We compare the results with those obtained in the fully coupled case showing that such collective phenomena are remarkably robust against network diluteness.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0102880