• Critical exponents in the transition to chaos in one-dimensional discrete systems

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      https://www.ias.ac.in/article/fulltext/pram/059/01/0009-0018

    • Keywords

       

      Critical exponents; Lyapunov exponent; fractal dimensions; period doubling; bimodal maps

    • Abstract

       

      We report the numerically evaluated critical exponents associated with the scaling of generalized fractal dimensions during the transition from order to chaos. The analysis is carried out in detail in the context of unimodal and bimodal maps representing typical one-dimensional discrete dynamical systems. The behavior of Lyapunov exponents (LE) in the cross over region is also studied for a complete characterization.

    • Author Affiliations

       

      G Ambika1 N V Sujatha1

      1. Department of Physics, Maharaja’s College, Cochin - 682 011, India
    • Dates

       
  • Pramana – Journal of Physics | News

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