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<p>In this work, three distinct systems of two linearly coupled maps are investigated, motivated by modeling considerations from the social sciences, broadening previously studied formulations. Numerical simulations are carried out using logistic maps, where, beyond synchronization zones, additional relevant zones are identified, corresponding to fixed-point and period-2 behaviors, as well as phenomena associated with certain transitions between chaotic and periodic dynamics. The study also establishes analytical results, some of which hold for classes of maps beyond the logistic family. A comparative analysis of the three systems is presented, highlighting similarities and differences in the structure of the identified zones and in the observed dynamical phenomena.</p>

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The dynamics of coupled beings

  • 期刊论文

  • 发表日期：

    2026年5月8日

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  • Luís Mário Lopes,
  • Sara Fernandes,
  • Clara Grácio,
  • Danièle Fournier-Prunaret

摘要

In this work, three distinct systems of two linearly coupled maps are investigated, motivated by modeling considerations from the social sciences, broadening previously studied formulations. Numerical simulations are carried out using logistic maps, where, beyond synchronization zones, additional relevant zones are identified, corresponding to fixed-point and period-2 behaviors, as well as phenomena associated with certain transitions between chaotic and periodic dynamics. The study also establishes analytical results, some of which hold for classes of maps beyond the logistic family. A comparative analysis of the three systems is presented, highlighting similarities and differences in the structure of the identified zones and in the observed dynamical phenomena.