• Synchronization-optimized networks for coupled nearly identical oscillators and their structural analysis

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      https://www.ias.ac.in/article/fulltext/pram/084/02/0173-0182

    • Keywords

       

      Synchronization; coupled oscillators; optimization.

    • Abstract

       

      The extension of the master stability function (MSF) to analyse stability of generalized synchronization for coupled nearly identical oscillators is discussed. The nearly identical nature of the coupled oscillators is due to some parameter mismatch while the dynamical equations are the same for all the oscillators. From the stability criteria of the MSF, we construct optimal networks with better synchronization property, i.e., the synchronization is stable for widest possible range of coupling parameters. In the optimized networks the nodes with parameter value at one extreme are selected as hubs. The pair of nodes with larger parameter difference are preferred to create links in the optimized networks, and the optimized networks are found to be disassortative in nature, i.e., the nodes with high degree tend to connect with nodes with low degree.

    • Author Affiliations

       

      Suman Acharyya1 R E Amritkar1 2

      1. Theoretical Physics Division, Physical Research Laboratory, Ahmedabad 380 009, India
      2. Institute of Infrastructure Technology Research and Management, Ahmedabad 380 026, India
    • Dates

       
  • Pramana – Journal of Physics | News

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