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International Journal of Intelligent Systems and Applications(IJISA)

ISSN: 2074-904X (Print), ISSN: 2074-9058 (Online)

Published By: MECS Press

IJISA Vol.10, No.11, Nov. 2018

About Lyapunov Exponents Identification for Systems with Periodic Coefficients

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Author(s)

Nikolay Karabutov

Index Terms

Dynamic systems with periodic coeffi-cients;Lyapunov exponents;framework;histogram

Abstract

Lyapunov exponents (LE) identification prob-lem of dynamic systems with periodic coefficients is con-sidered under uncertainty. LE identification is based on the analysis of framework special class describing dy-namics of their change. Upper bound for the smallest LE and mobility limit for the large LE are obtained and the indicator set of the system is determined. The graphics criteria based on the analysis of framework special class features are proposed for an adequacy estimation of obtained LE estimations. The histogram method is applied to check for obtained estimation set. We show that the dynamic system can have the LE set.

Cite This Paper

Nikolay Karabutov, "About Lyapunov Exponents Identification for Systems with Periodic Coefficients", International Journal of Intelligent Systems and Appli-cations(IJISA), Vol.10, No.11, pp.1-10, 2018. DOI: 10.5815/ijisa.2018.11.01

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