A model of phase-coupled delay equations for the dynamics of word usage
Physics and Society
2026-05-01 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2304.09292,
title = {A model of phase-coupled delay equations for the dynamics of word usage},
author = {Alejandro Pardo Pintos and Diego Shalom and Enzo Tagliazucchi and Gabriel Mindlin and Marcos Trevisan},
journal= {arXiv preprint arXiv:2304.09292},
year = {2026}
}
Comments
7 pages, 3 figures. APP, GM, and MT designed and performed the research, APP and DES analyzed the data, and APP, ET and MT wrote the paper. The authors declare no conflict of interes