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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/039/05/0529-0539

    • Keywords

       

      Circle maps; universal constants; f(α) spectrum; generalized dimensions

    • Abstract

       

      We present an analytic perturbative method for calculatingf(α) and the generalized dimensionDq of the critical invariant circle of the polynomial circle map. The scaling behaviour is found to depend onz, the exponent defining the map. The asymptotic bounds of the scaling constantsα(z) andδ(z) are verified analytically.

    • Author Affiliations

       

      K M Valsamma1 K Babu Joseph1 G Ambika1

      1. Department of Physics, Cochin University of Science and Technology, Kochi - 680 022, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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