Asymmetric Unimodal Maps: Some Results from q-generalized Bit Cumulants
Ugur Tirnakli
Abstract
In this study, using q-generalized bit cumulants (q is the nonextensivity parameter of the recently introduced Tsallis statistics), we investigate the asymmetric unimodal maps. The study of the q-generalized second cumulant of these maps allows us to determine, for the first time, the dependence of the inflexion paremeter pairs (z1,z2) to the nonextensivity parameter q. This behaviour is found to be very similar to that of the logistic-like maps (z1=z2=z) reported recently by Costa et al. [Phys.Rev.E 56 (1997) 245].
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