Avalanches impede synchronization of jammed oscillators release_whle3isa2nfndkq64mn23haqdu

by William Gilpin

Released as a article .

2020  

Abstract

Spontaneous desynchronization of coupled oscillators occurs in diverse systems spanning from the mammalian brain to alternating current power grids. Here, we model desynchronization using a generalization of the classical models of nonidentical phase-coupled oscillators, which includes short-range phase repulsion among individual oscillators. Surprisingly, we find that our model exhibits self-organized avalanches at intermediate values of the repulsion strength, and that these avalanches have similar statistical properties and scaling exponents to cascades seen in real-world oscillator ensembles---including neuronal avalanches. We show that avalanches in our system arise due to a critical mechanism based on competition between the mean field and local interactions, which can be recreated using a classical cellular automaton model of traffic jams. We exactly solve our system in the many-oscillator limit, and find that criticality arises due to the system's strong sensitivity to small-scale noise, here arising from local rearrangements among oscillators. Our results provide a minimal and nearly-solvable example of complex dynamics arising in a driven critical system.
In text/plain format

Archived Files and Locations

application/pdf  17.9 MB
file_7vws3jiwnvgvfcdzw4tul2sfyq
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   submitted
Date   2020-10-20
Version   v2
Language   en ?
arXiv  1906.05514v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 0e0594b4-3d0a-44f9-a723-1b8aec26d8b8
API URL: JSON