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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/091/01/0004

    • Keywords

       

      Strange non-chaotic attractor; state controlled-cellular neural network circuit; Heagy–Hammel route; fractalisation route; singular continuous spectrum analysis

    • Abstract

       

      In this paper, we report the dynamical transitions to strange non-chaotic attractors in a quasiperiodically forced state controlled-cellular neural network (SC-CNN) based MLC circuit via two different mechanisms, namely the Heagy–Hammel route and the gradual fractalisation route. These transitions were observed through numerical simulations and hardware experiments and confirmed using statistical tools, such as maximal Lyapunov exponent spectrum and its variance and singular continuous spectral analysis. We find that there is a remarkable agreement of the results from both numerical simulations as well as from hardware experiments.

    • Author Affiliations

       

      P MEGAVARNA EZHILARASU1 M INBAVALLI2 K MURALI3 K THAMILMARAN1

      1. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli 620 024, India
      2. Department of Physics, Jeppiaar Engineering College, Chennai 600 119, India
      3. Department of Physics, Anna University, Chennai 600 025, India

    • Dates

       
      Published
      5 July 2018
      Manuscript received
      14 July 2017
      Manuscript revised
      26 December 2017
      Accepted
      2 January 2018
      Early published
      Unedited version published online
      Final version published online
      29 May 2018

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