• Robust dynamical effects in traffic and chaotic maps on trees

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      https://www.ias.ac.in/article/fulltext/pram/070/06/1099-1108

    • Keywords

       

      Networks; traffic; chaos; return-times.

    • Abstract

       

      In the dynamic processes on networks collective effects emerge due to the couplings between nodes, where the network structure may play an important role. Interaction along many network links in the nonlinear dynamics may lead to a kind of chaotic collective behavior. Here we study two types of well-de¯ned diffusive dynamics on scale-free trees: traffic of packets as navigated random walks, and chaotic standard maps coupled along the network links. We show that in both cases robust collective dynamic effects appear, which can be measured statistically and related to non-ergodicity of the dynamics on the network. Specifically, we find universal features in the fluctuations of time series and appropriately defined return-time statistics.

    • Author Affiliations

       

      Bosiljka Tadić1 Zoran Levnajić1

      1. Department of Theoretical Physics, Jo·zef Stefan Institute, Box 3000 SI-1001 Ljubljana, Slovenia
    • Dates

       
  • Pramana – Journal of Physics | News

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