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

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  • Pardo Pintos, Alejandro
  • Shalom, Diego E.
  • Tagliazucchi, Enzo
  • Mindlin, Gabriel
  • Trevisan, Marcos

Abstract

Word use presents regular oscillations mounted over slowly varying trends. These oscillations have been recently interpreted in terms of fashion-like cycles of interest and saturation, and modelled using a logistic equation with distributed delay. Here we show that the communities of semantically related words are partially synchronized. To account for this, we model the words of each community using logistic equations connected with a Kuramoto coupling. In this way, we test the simple hypothesis that the change in the occurrence of a word depends linearly on the occurrence of its semantic neighbours. We show that this simple model reproduces the coherence observed in the experimental communities using a single global coupling across multiple languages, regardless of the network topology. Our results build confidence on a universal model of language usage based on the interaction between cognitive forces and the sociocultural context.

Suggested Citation

  • Pardo Pintos, Alejandro & Shalom, Diego E. & Tagliazucchi, Enzo & Mindlin, Gabriel & Trevisan, Marcos, 2023. "A model of phase-coupled delay equations for the dynamics of word usage," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007774
    DOI: 10.1016/j.chaos.2023.113876
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    References listed on IDEAS

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    1. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    2. Pardo Pintos, Alejandro & Shalom, Diego E. & Tagliazucchi, Enzo & Mindlin, Gabriel & Trevisan, Marcos, 2022. "Cognitive forces shape the dynamics of word usage across multiple languages," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Philipp Lorenz-Spreen & Bjarke Mørch Mønsted & Philipp Hövel & Sune Lehmann, 2019. "Accelerating dynamics of collective attention," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    4. Marcelo A Montemurro & Damián H Zanette, 2016. "Coherent oscillations in word-use data from 1700 to 2008," Palgrave Communications, Palgrave Macmillan, vol. 2(1), pages 1-9, December.
    5. Mitchell G Newberry & Daniel B Ennis & Van M Savage, 2015. "Testing Foundations of Biological Scaling Theory Using Automated Measurements of Vascular Networks," PLOS Computational Biology, Public Library of Science, vol. 11(8), pages 1-18, August.
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