• Perturbative evaluation of universal constants for a quartic map

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      https://www.ias.ac.in/article/fulltext/pram/026/06/0465-0476

    • Keywords

       

      Dynamical systems; chaos; Feigenbaum scenario; perturbative approach

    • Abstract

       

      We discuss a perturbative scheme for the determination of the bifurcation rate δ for a specific map, by extending Virendra Singh’s method of evaluating the scaling factor α. The method is applied to a quartic map and the values obtained, α = 1.690781026 and δ = 7.23682924 are in good agreement with the numerically computed values reported in the literature. The perturbative approach is found to be more efficient than other existing methods.

    • Author Affiliations

       

      G Ambika1 K Babu Joseph1

      1. Department of Physics, Cochin University of Science & Technology, Cochin - 682022, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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