Evidence of the correlation between positive Lyapunov exponents and good chaotic random number sequences

Using a new method to extract the data from various one-dimensional chaotic maps, we show that there is a nice correlation between the sign of the Lyapunov exponent of the maps and whether the extracted data form a good set of pseudo-random numbers using various well-known criteria.

Saved in:
Bibliographic Details
Published inComputer physics communications Vol. 160; no. 3; pp. 187 - 203
Main Authors Lee, Po-Han, Chen, Yi, Pei, Soo-Chang, Chen, Yih-Yuh
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.07.2004
Subjects
Chaos
Diehard battery of tests
FIPS PUB 140-2
Height correlation test
Logit map
SP 800-22 tests
Chaos
Height correlation test
FIPS PUB 140-2
SP 800-22 tests
Diehard battery of tests
05.45.+b
05.40.+j
02.60.-x
02.50.sk
Logit map
Online AccessGet full text

Cover

More Information
Summary:Using a new method to extract the data from various one-dimensional chaotic maps, we show that there is a nice correlation between the sign of the Lyapunov exponent of the maps and whether the extracted data form a good set of pseudo-random numbers using various well-known criteria.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2004.04.001