[2304.09292] A model of phase-coupled delay equations for the dynamics of word usage Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Physics > Physics and Society arXiv:2304.09292 (physics) [Submitted on 18 Apr 2023 ( v1 ), last revised 21 Jun 2023 (this version, v3)] Title: A model of phase-coupled delay equations for the dynamics of word usage Authors: Alejandro Pardo Pintos , Diego Shalom , Enzo Tagliazucchi , Gabriel Mindlin , Marcos Trevisan View a PDF of the paper titled A model of phase-coupled delay equations for the dynamics of word usage, by Alejandro Pardo Pintos and 4 other authors View PDF HTML (experimental) 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. 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 Subjects: Physics and Society (physics.soc-ph) Cite as: arXiv:2304.09292 [physics.soc-ph] (or arXiv:2304.09292v3 [physics.soc-ph] for this version) https://doi.org/10.48550/arXiv.2304.09292 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Chaos, Solitons & Fractals 174, 113876 (2023) Related DOI : https://doi.org/10.1016/j.chaos.2023.113876 Focus to learn more DOI(s) linking to related resources Submission history From: Alejandro Pardo Pintos [ view email ] [v1] Tue, 18 Apr 2023 20:58:15 UTC (826 KB) [v2] Mon, 22 May 2023 16:33:28 UTC (710 KB) [v3] Wed, 21 Jun 2023 15:05:44 UTC (710 KB) Full-text links: Access Paper: View a PDF of the paper titled A model of phase-coupled delay equations for the dynamics of word usage, by Alejandro Pardo Pintos and 4 other authors View PDF HTML (experimental) TeX Source view license Current browse context: physics.soc-ph < prev | next > new | recent | 2023-04 Change to browse by: physics References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from