Abstract
We present an analytic perturbative method for calculatingf(α) and the generalized dimensionD q 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.
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Valsamma, K.M., Joseph, K.B. & Ambika, G. f-α Spectrum of circle map. Pramana - J Phys 39, 529–539 (1992). https://doi.org/10.1007/BF02847341
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DOI: https://doi.org/10.1007/BF02847341