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

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.

arXiv comment7 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

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