Synchronization through frequency shuffling

Fuente: arXiv
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Autori principali: Aravind, Manaoj, Pachaulee, Vaibhav, Sarkar, Mrinal, Tiwari, Ishant, Gupta, Shamik, Parmananda, P.
Natura: Preprint
Pubblicazione: 2024
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author Aravind, Manaoj
Pachaulee, Vaibhav
Sarkar, Mrinal
Tiwari, Ishant
Gupta, Shamik
Parmananda, P.
author_facet Aravind, Manaoj
Pachaulee, Vaibhav
Sarkar, Mrinal
Tiwari, Ishant
Gupta, Shamik
Parmananda, P.
contents A wide variety of engineered and natural systems are modelled as networks of coupled nonlinear oscillators. In nature, the intrinsic frequencies of these oscillators are not constant in time. Here, we probe the effect of such a temporal heterogeneity on coupled oscillator networks, through the lens of the Kuramoto model. To do this, we shuffle repeatedly the intrinsic frequencies among the oscillators at either random or regular time intervals. What emerges is the remarkable effect that frequent shuffling induces earlier onset (i.e., at a lower coupling) of synchrony among the oscillator phases. Our study provides a novel strategy to induce and control synchrony under resource constraints. We demonstrate our results analytically and in experiments with a network of Wien Bridge oscillators with internal frequencies being shuffled in time.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13569
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Synchronization through frequency shuffling
Aravind, Manaoj
Pachaulee, Vaibhav
Sarkar, Mrinal
Tiwari, Ishant
Gupta, Shamik
Parmananda, P.
Statistical Mechanics
Adaptation and Self-Organizing Systems
A wide variety of engineered and natural systems are modelled as networks of coupled nonlinear oscillators. In nature, the intrinsic frequencies of these oscillators are not constant in time. Here, we probe the effect of such a temporal heterogeneity on coupled oscillator networks, through the lens of the Kuramoto model. To do this, we shuffle repeatedly the intrinsic frequencies among the oscillators at either random or regular time intervals. What emerges is the remarkable effect that frequent shuffling induces earlier onset (i.e., at a lower coupling) of synchrony among the oscillator phases. Our study provides a novel strategy to induce and control synchrony under resource constraints. We demonstrate our results analytically and in experiments with a network of Wien Bridge oscillators with internal frequencies being shuffled in time.
title Synchronization through frequency shuffling
topic Statistical Mechanics
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2405.13569