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      https://www.ias.ac.in/article/fulltext/pram/047/05/0339-0345

    • Keywords

       

      Logistic map; periodic perturbation; bubble structures; fractal basin of escape

    • Abstract

       

      By introducing a periodic perturbation in the control parameter of the logistic map we have investigated the period locking properties of the map. The map then gets locked onto the periodicity of the perturbation for a wide range of values of the parameter and hence can lead to a control of the chaotic regime. This parametrically perturbed map exhibits many other interesting features like the presence of bubble structures, repeated reappearance of periodic cycles beyond the chaotic regime, dependence of the escape parameter on the seed value and also on the initial phase of the perturbation etc.

    • Author Affiliations

       

      P P Saratchandran1 2 V M Nandakumaran1 G Ambika1 3

      1. International School of Photonics, Cochin University of Science and Technology, Cochin - 682 022, India
      2. Department of Physics, The Cochin College, Cochin - 682 002, India
      3. Department of Physics, Maharajas College, Cochin - 682 011, India
    • Dates

       
  • Pramana – Journal of Physics | News

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