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    • Synchronization of oscillators in complex networks

      Louis M Pecora

      Synchronization Volume 70 Issue 6 June 2008 pp 1175-1198

    • Fulltext

       

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      https://www.ias.ac.in/article/fulltext/pram/070/06/1175-1198

    • Keywords

       

      Networks; synchronization; coupled oscillators.

    • Abstract

       

      Theory of identical or complete synchronization of identical oscillators in arbitrary networks is introduced. In addition, several graph theory concepts and results that augment the synchronization theory and a tie in closely to random, semirandom, and regular networks are introduced. Combined theories are used to explore and compare three types of semirandom networks for their efficacy in synchronizing oscillators. It is shown that the simplest 𝑘-cycle augmented by a few random edges or links are the most efficient network that will guarantee good synchronization.

    • Author Affiliations

       

      Louis M Pecora1

      1. Code 6362, Naval Research Laboratory, Washington, DC 20375, USA

    • Dates

       
      Published
      June 2008

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