Recurrence quantification analysis as an empirical test to distinguish relatively short deterministic versus random number series

Citation
Jp. Zbilut et al., Recurrence quantification analysis as an empirical test to distinguish relatively short deterministic versus random number series, PHYS LETT A, 267(2-3), 2000, pp. 174-178
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
267
Issue
2-3
Year of publication
2000
Pages
174 - 178
Database
ISI
SICI code
0375-9601(20000313)267:2-3<174:RQAAAE>2.0.ZU;2-0
Abstract
A simple data analysis strategy based on the scoring of recurrences, allowe d us to distinguish relatively short runs of (i) a chaotic system (logistic map), (ii) transcendental numbers (pi). (iii) pseudo-random numbers, and ( iv) physical random numbers (atmospheric noise). Beside the theoretical imp lications of distinguishing transcendental and pseudo-random numbers from p hysical noise, these results suggest a test (C) 2000 published by Elsevier Science B.V. All rights reserved.