• Synchronization of networks

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      https://www.ias.ac.in/article/fulltext/pram/071/02/0195-0201

    • Keywords

       

      Synchronization; nonlinear dynamical systems; networks.

    • Abstract

       

      We study the synchronization of coupled dynamical systems on networks. The dynamics is governed by a local nonlinear oscillator for each node of the network and interactions connecting different nodes via the links of the network. We consider existence and stability conditions for both single- and multi-cluster synchronization. For networks with time-varying topology we compare the synchronization properties of these networks with the corresponding time-average network. We find that if the different coupling matrices corresponding to the time-varying networks commute with each other then the stability of the synchronized state for both the time-varying and the time-average topologies are approximately the same. On the other hand, for non-commuting coupling matrices the stability of the synchronized state for the time-varying topology is in general better than the time-average topology.

    • Author Affiliations

       

      R E Amritkar1

      1. Physical Research Laboratory, Navrangapura, Ahmedabad 380 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

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