Acta Scientific Computer Sciences

Research Article Volume 4 Issue 4

Estimation of Lyapunov Exponents for Systems with Periodic Coefficients On-base Structure Approach

Nikolay Karabutov*

Department of Control Problems, MIREA-Russian Technological University, Moscow, Russia

*Corresponding Author: Nikolay Karabutov, Department of Control Problems, MIREA-Russian Technological University, Moscow, Russia.

Received: November 02, 2021; Published: March 28, 2022

Abstract

We propose an approach to Lyapunov exponents (LE) identification. It bases on the analysis of geometric frameworks (GF) describing the dynamics of the LE change. We obtain the upper bound for the smallest LE and mobility limit for the large LE and the indicator set for the system with periodic coefficients. Graphical criteria (GC) propose to assess of adequacy the obtained LE. GC is based on the proposed histograms method and is applied to assess LE adequacy. We show that the dynamic system has the LE set. Identifiability conditions of LE are obtained


Keywords: Dynamic Systems with Periodic Coefficients; Lyapunov Exponents; Framework; Histogram; Almost Periodic Function; Identifiability

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Citation

Citation: Nikolay Karabutov. “Estimation of Lyapunov Exponents for Systems with Periodic Coefficients On-base Structure Approach”. Acta Scientific Computer Sciences 4.4 (2022): 83-90.

Copyright

Copyright: © 2022 Nikolay Karabutov. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.




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