Asymmetric unimodal maps: Some results from q-generalized bit cumulants


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Tirnakli U.

PHYSICAL REVIEW E, cilt.62, ss.7857-7860, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 62 Konu: 6
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1103/physreve.62.7857
  • Dergi Adı: PHYSICAL REVIEW E
  • Sayfa Sayıları: ss.7857-7860

Özet

study, using q-generalized bit cumulants (q is the nonextensivity parameter of the recently introduced Tsallis statistics), we investigate the asymmetric unimodal maps x(t+1)= 1 - a /x(t)/(zi) (i = 1,2 correspond to x(t) >0 and x(t)<0, respectively; z(i)>1, 0+/- infinity this slope approaches unity. This behavior is very similar to the behavior of q* as a function of the inflection parameter for some z-dependent maps; namely, as z->infinity, q* approaches 1.