Dynamic and statistical characteristics of chaotic sequences subjected to linear transformations

Pavlo Yu. Kostenko; Kostiantyn S. Vasiuta; V. I. Storogev; S. A. Oleinik

doi:10.3103/S0735272706070041

Authors

Pavlo Yu. Kostenko Ivan Kozhedub Kharkiv National Air Force University, Ukraine https://orcid.org/0000-0002-3382-0684
Kostiantyn S. Vasiuta Ivan Kozhedub Kharkiv National Air Force University, Ukraine https://orcid.org/0000-0002-1978-3717
V. I. Storogev Kharkiv Air Force University, Ukraine
S. A. Oleinik Kharkov Air Force University, Ukraine

DOI:

https://doi.org/10.3103/S0735272706070041

Abstract

The paper presents the investigation results of dynamic and statistical characteristics of chaotic sequences subjected to linear transformations and formed by Chebyshev’s mappings of the second and third order. The paper shows the dependence of characteristics under investigation on the type of mapping and the number of elements in the sequences during their linear transformation. Also, the paper illustrates differences in evolution of distributions of the sequences transformed.

References

Zarubezhnaya Radioelektronika, 1998, n.11.

Zarubezhnaya Radioelektronika, 2000, n.11.

SHARKOVSKII, A.N.; KOLYADA, S.F.; SIVAK, A.G.; FEDORENKO, V.V. Dynamics of One-Dimensional Mappings [in Russian]. Kiev: Naukova Dumka, 1989.

SCHUSTER, H.G. Deterministic Chaos. Wiley, 1995.

PASHKOVSKII, S. Numerical Applications of Chebyshev’s Polynomials and Series [in Russian]. Moscow: Nauka, 1983.

MARPLE Jr., S.L. Digital Spectral Analysis with Applications. Prentice-Hall, 1987.

LEVIN, B.R. Theoretical Foundations of Statistical Radio Engineering [in Russian]. Moscow: Radio i Svyaz, 1989.

Dynamic and statistical characteristics of chaotic sequences subjected to linear transformations

Authors

DOI:

Abstract

References

Downloads

Published

Issue

Section

Make a Submission

ADVANTAGES

Information

MEMBER

Subscription

Developed By