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

Preprint

25 November 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9911420

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 (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].

Keywords

GENERALIZED BIT CUMULANTS
ASYMMETRIC UNIMODAL MAPS
NONEXTENSIVITY
UNIMODAL MAPS
Z_2
Z_1

All Related Versions

Version 1, 1999-11-25, ArXiv
Published version: Physical Review E, 62 (6), 7857.

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