caa a22 4500 469041269 CHVBK 20180323132812.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF02847341 doi (NATIONALLICENCE)springer-10.1007/BF02847341 f-α Spectrum of circle map [Elektronische Daten] [K Valsamma, K Joseph, G Ambika] 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. Indian Academy of Sciences, 1992 Circle maps nationallicence universal constants nationallicence f(α) spectrum nationallicence generalized dimensions nationallicence 05.45 nationallicence 05.40 nationallicence 47.20 nationallicence 47.25 nationallicence Valsamma K. Department of Physics, Cochin University of Science and Technology, 680 022, Kochi, India aut Joseph K. Department of Physics, Cochin University of Science and Technology, 680 022, Kochi, India aut Ambika G. Department of Physics, Cochin University of Science and Technology, 680 022, Kochi, India aut Pramana Springer India 39/5(1992-11-01), 529-539 0304-4289 39:5<529 1992 39 12043 https://doi.org/10.1007/BF02847341 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02847341 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Valsamma K. Department of Physics, Cochin University of Science and Technology, 680 022, Kochi, India aut NATIONALLICENCE 700 1- Joseph K. Department of Physics, Cochin University of Science and Technology, 680 022, Kochi, India aut NATIONALLICENCE 700 1- Ambika G. Department of Physics, Cochin University of Science and Technology, 680 022, Kochi, India aut NATIONALLICENCE 773 0- Pramana Springer India 39/5(1992-11-01), 529-539 0304-4289 39:5<529 1992 39 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer