Dynamic and statistical characteristics of chaotic sequences subjected to linear transformations

Authors

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

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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.

Published

2006-07-04

Issue

Section

Research Articles