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    • Time-varying interaction leads to amplitude death in coupled nonlinear oscillators

      Awadhesh Prasad

      Volume 81 Issue 3 September 2013 pp 407-415

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/03/0407-0415

    • Keywords

       

      Time-varying interaction; amplitude death; synchronization.

    • Abstract

       

      A new form of time-varying interaction in coupled oscillators is introduced. In this interaction, each individual oscillator has always time-independent self-feedback while its interaction with other oscillators are modulated with time-varying function. This interaction gives rise to a phenomenon called amplitude death even in diffusively coupled identical oscillators. The nonlinear variation of the locus of bifurcation point is shown. Results are illustrated with Landau–Stuart (LS) and Rössler oscillators.

    • Author Affiliations

       

      Awadhesh Prasad1

      1. Department of Physics and Astrophysics, University of Delhi, Delhi 110 007, India

    • Dates

       
      Published
      September 2013
      Manuscript received
      21 December 2012
      Manuscript revised
      17 May 2013
      Accepted
      13 June 2013

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