• Bifurcation structure and Lyapunov exponents of a modulated logistic map

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      https://www.ias.ac.in/article/fulltext/pram/029/06/0533-0542

    • Keywords

       

      Modulated logistic map; period-doubling; bifurcation structure; Lyapunov exponents

    • Abstract

       

      We have studied the bifurcation structure of the logistic map with a time dependant control parameter. By introducing a specific nonlinear variation for the parameter, we show that the bifurcation structure is modified qualitatively as well as quantitatively from the first bifurcation onwards. We have also computed the two Lyapunov exponents of the system and find that the modulated logistic map is less chaotic compared to the logistic map.

    • Author Affiliations

       

      K P Harikrishnan1 V M Nandakumaran1

      1. Department of Physics, Cochin University of Science and Technology, Cochin - 682 022, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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