A model of phase-coupled delay equations for the dynamics of word usage

Fuente: arXiv
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Autori principali: Pintos, Alejandro Pardo, Shalom, Diego, Tagliazucchi, Enzo, Mindlin, Gabriel, Trevisan, Marcos
Natura: Preprint
Pubblicazione: 2023
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author Pintos, Alejandro Pardo
Shalom, Diego
Tagliazucchi, Enzo
Mindlin, Gabriel
Trevisan, Marcos
author_facet Pintos, Alejandro Pardo
Shalom, Diego
Tagliazucchi, Enzo
Mindlin, Gabriel
Trevisan, Marcos
contents Cycles of word usage have been described using an integro-differential Volterra model close to a Hopf bifurcation. Here we transform this system to a phase model, which allows us to phase-couple the words and address the observation of coherent oscillations in word usage.
format Preprint
id arxiv_https___arxiv_org_abs_2304_09292
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A model of phase-coupled delay equations for the dynamics of word usage
Pintos, Alejandro Pardo
Shalom, Diego
Tagliazucchi, Enzo
Mindlin, Gabriel
Trevisan, Marcos
Physics and Society
Cycles of word usage have been described using an integro-differential Volterra model close to a Hopf bifurcation. Here we transform this system to a phase model, which allows us to phase-couple the words and address the observation of coherent oscillations in word usage.
title A model of phase-coupled delay equations for the dynamics of word usage
topic Physics and Society
url https://arxiv.org/abs/2304.09292