Asymmetric Unimodal Maps: Some Results from q-generalized Bit Cumulants

Details Asymmetric Unimodal Maps: Some Results from q-generalized Bit Cumulants Asymmetric Unimodal Maps: Some Results from q-generalized Bit Cumulants

1999-11-25

arxiv.org/abs/cond-mat/9911420v1

Phys. Rev. E 62 (2000) 7857

Physics

Condensed Matter

Statistical Mechanics

6 pages with 3 figs

Scientific paper

10.1103/PhysRevE.62.7857

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 (z_1,z_2) to the nonextensivity parameter q. This behaviour is found to be very similar to that of the logistic-like maps (z_1=z_2=z) reported recently by Costa et al. [Phys.Rev.E 56 (1997) 245].

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