Sensitivity to Initial Conditions and Nonextensivity in Biological Evolution

Details Sensitivity to Initial Conditions and Nonextensivity in Biological Evolution Sensitivity to Initial Conditions and Nonextensivity in Biological Evolution

1996-12-20

arxiv.org/abs/cond-mat/9612196v1

Physics

Condensed Matter

Statistical Mechanics

9 pages (RevTex), 3 PS figures

Scientific paper

We consider biological evolution as described within the Bak and Sneppen 1993 model. We exhibit, at the self-organized critical state, a power-law sensitivity to the initial conditions, calculate the associated exponent, and relate it to the recently introduced nonextensive thermostatistics. The scenario which here emerges without tuning strongly reminds that of the tuned onset of chaos in say logistic-like onedimensional maps. We also calculate the dynamical exponent z.

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