PSEUDO-RANDOM NUMBER GENERATORS AND CHAOS.

Shinichi Oishi, Hajime Inoue

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

An application is proposed of chaotic phenomena in the field of numerical analysis. Namely, a new method is proposed for designing pseudo-random number generators by making use of chaotic first order nonlinear difference equations. This design problem is formulated mathematically as an inverse problem of the Perron-Frobenius equation. As an application of this result, it is shown that a uniform random number generator with an arbitary Kolmogorov's entropy can be constructed.

Original languageEnglish
Pages (from-to)534-541
Number of pages8
JournalTransactions of the Institute of Electronics and Communication Engineers of Japan. Section E
VolumeE65
Issue number9
Publication statusPublished - 1982 Sep
Externally publishedYes

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Chaos theory
Difference equations
Inverse problems
Numerical analysis
Entropy

ASJC Scopus subject areas

  • Engineering(all)

Cite this

PSEUDO-RANDOM NUMBER GENERATORS AND CHAOS. / Oishi, Shinichi; Inoue, Hajime.

In: Transactions of the Institute of Electronics and Communication Engineers of Japan. Section E, Vol. E65, No. 9, 09.1982, p. 534-541.

Research output: Contribution to journalArticle

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