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Self-synchronization of populations of nonlinear oscillators in the thermodynamic limit

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Abstract

A population of identical nonlinear oscillators, subject to random forces and coupled via a mean-field interaction, is studied in the thermodynamic limit. The model presents a nonequilibrium phase transition from a stationary to a time-periodic probability density. Below the transition line, the population of oscillators is in a quiescent state with order parameter equal to zero. Above the transition line, there is a state of collective rhythmicity characterized by a time-periodic behavior of the order parameter and all moments of the probability distribution. The information entropy of the ensemble is a constant both below and above the critical line. Analytical and numerical analyses of the model are provided.

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Authors and Affiliations

  1. Departamento de Fisica Teórica, Universidad de Sevilla, 41080, Sevilla, Spain

    Luis L. Bonilla, José M. Casado & Manuel Morillo

Authors
  1. Luis L. Bonilla
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  2. José M. Casado
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  3. Manuel Morillo
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Bonilla, L.L., Casado, J.M. & Morillo, M. Self-synchronization of populations of nonlinear oscillators in the thermodynamic limit. J Stat Phys 48, 571–591 (1987). https://doi.org/10.1007/BF01019689

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  • DOI: https://doi.org/10.1007/BF01019689

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