• Temporal self-similar synchronization patterns and scaling in repulsively coupled oscillators

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/conf/001/01/0101-0108

    • Keywords

       

      Repulsively coupled oscillators; synchronization patterns; self-similar sequences; Watanabe–Strogatz phenomenon

    • Abstract

       

      We study synchronization patterns in repulsively coupled Kuramoto oscillators and focus on the impact of disorder in the natural frequencies. Among other choices we select the grid size and topology in a way that we observe a dynamically induced dimensional reduction with a continuum of attractors as long as the natural frequencies are uniformly chosen. When we introduce disorder in these frequencies, we find limit cycles with periods that are orders of magnitude longer than the natural frequencies of individual oscillators. Moreover we identify sequences of temporary patterns of phase-locked motion, which are self-similar in time and whose periods scale with a power of the inverse width about a uniform frequency distribution. This behavior provides challenges for future research.

      PACS Nos 05.45-a; 05.45.Xt; 05.40.Ca; 05.90.+m

    • Author Affiliations

       

      DARKA LABAVIĆ1 HILDEGARD MEYER-ORTMANNS1

      1. Department of Physics and Earth Sciences, Jacobs University Bremen, Germany
  • Indian Academy of Sciences
    Conference Series | News

© 2017 Indian Academy of Sciences, Bengaluru.