The non-extensive version of the Kolmogorov-Sinai entropy at work
| dc.creator | Montangero, S. | |
| dc.creator | Fronzoni, L. | |
| dc.creator | Grigolini, P. | |
| dc.date | 1999-11-25 | |
| dc.date.accessioned | 2026-07-07T03:15:18Z | |
| dc.date.available | 2026-07-07T03:15:18Z | |
| dc.description | We address the problem of applying the Kolmogorov-Sinai method of entropic analysis, expressed in a generalized non-extensive form, to the dynamics of the logistic map at the chaotic threshold, which is known to be characterized by a power law rather than exponential sensitivity to initial conditions. The computer treatment is made difficult, if not impossible, by the multifractal nature of the natural invariant distribution: Thus the statistical average is carried out on the power index. The resulting entropy time evolution becomes a smooth and linear function of time with the non-extensive index Q < 1 prescribed by the heuristic arguments of earlier work, thereby showing how to make the correct entropic prediction in the spirit of the single-trajectory approach of Kolmogorov. | |
| dc.description | 4 pages, 3 figures, submitted to PRL | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9911412 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9911412 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29976 | |
| dc.subject | Condensed Matter | |
| dc.title | The non-extensive version of the Kolmogorov-Sinai entropy at work | |
| dc.type | text |