The problem of the inverse lyapunov exponent and its applications

Marcin Lawnik

doi:10.15388/NA.2018.6.9

The problem of the inverse lyapunov exponent and its applications

Marcin Lawnik

Katedra Metod Matematycznych w Technice i Informatyce (RMS/RMS3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

The problem of the inverse Lyapunov exponent was formulated and solved, involving to find such chaotic transformation for which the value of the Lyapunov exponent is given in advance. The solution procedure was presented by a numerical example. Furthermore, applications of the discussed model in chaos based cryptography were discussed.

Język oryginału	angielski
Strony (od–do)	951-960
Liczba stron	10
Czasopismo	Nonlinear Analysis: Modelling and Control
Tom	23
Numer wydania	6
Identyfikatory DOI	https://doi.org/10.15388/NA.2018.6.9
Status publikacji	Opublikowano - 2018

Obszary tematyczne ASJC Scopus

Analiza
Matematyka stosowana

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10.15388/NA.2018.6.9

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abstract = "The problem of the inverse Lyapunov exponent was formulated and solved, involving to find such chaotic transformation for which the value of the Lyapunov exponent is given in advance. The solution procedure was presented by a numerical example. Furthermore, applications of the discussed model in chaos based cryptography were discussed.",

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AB - The problem of the inverse Lyapunov exponent was formulated and solved, involving to find such chaotic transformation for which the value of the Lyapunov exponent is given in advance. The solution procedure was presented by a numerical example. Furthermore, applications of the discussed model in chaos based cryptography were discussed.

KW - Inverse problem

KW - Lyapunov exponent

KW - Piecewise linear map

UR - https://www.scopus.com/pages/publications/85064918463

U2 - 10.15388/NA.2018.6.9

DO - 10.15388/NA.2018.6.9

M3 - Article

AN - SCOPUS:85064918463

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The problem of the inverse lyapunov exponent and its applications

Abstrakt

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