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Synchronization of multi-phase oscillators: an Axelrod-inspired model

  • Interdisciplinary Physics
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Abstract

Inspired by Axelrod’s model of culture dissemination, we introduce and analyze a model for a population of coupled oscillators where different levels of synchronization can be assimilated to different degrees of cultural organization. The state of each oscillator is represented by a set of phases, and the interaction – which occurs between homologous phases – is weighted by a decreasing function of the distance between individual states. Both ordered arrays and random networks are considered. We find that the transition between synchronization and incoherent behaviour is mediated by a clustering regime with rich organizational structure, where any two oscillators can be synchronized in some of their phases, while their remain unsynchronized in the others.

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Authors and Affiliations

  1. Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400, Bariloche, Río Negro, Argentina

    M. N. Kuperman & D. H. Zanette

Authors
  1. M. N. Kuperman
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  2. D. H. Zanette
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Correspondence to M. N. Kuperman.

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Kuperman, M., Zanette, D. Synchronization of multi-phase oscillators: an Axelrod-inspired model. Eur. Phys. J. B 70, 243–248 (2009). https://doi.org/10.1140/epjb/e2009-00194-3

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  • DOI: https://doi.org/10.1140/epjb/e2009-00194-3

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