• Effect of a fluctuating parameter mismatch and the associated time-scales on coupled Rossler oscillators

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      https://www.ias.ac.in/article/fulltext/pram/072/03/0495-0503

    • Keywords

       

      Chaos; synchronization; parameter mismatch.

    • Abstract

       

      We study the effect of parameter fluctuations and the resultant multiplicative noise on the synchronization of coupled chaotic systems. We introduce a new quantity, the fluctuation rate 𝜙 as the number of perturbations occurring to the parameter in unit time. It is shown that 𝜙 is the most significant quantity that determines the quality of synchronization. It is found that parameter fluctuations with high fluctuation rates do not destroy synchronization, irrespective of the statistical features of the fluctuations. We also present a quasi-analytic explanation to the relation between 𝜙 and the error in synchrony.

    • Author Affiliations

       

      Manu P John1 P U Jijo1 2 V M Nandakumaran1 3

      1. International School of Photonics, Cochin University of Science and Technology, Kochi 682 022, India
      2. Department of Physics, Government College, Madapally, Vadakara, Calicut 673 102, India
      3. Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, CET Campus, Thiruvananthapuram 695 016, India
    • Dates

       
  • Pramana – Journal of Physics | News

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