Engineering Mechanics

International Conference

Proceedings Vol. 23 (2017)


ENGINEERING MECHANICS 2017

23rd INTERNATIONAL CONFERENCE
May 15 – 18, 2017, Svratka, Czech Republic
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Editors: Vladimír Fuis

Copyright © 2017 Brno University of Technology, Faculty of Mechanical Engineering, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno

ISBN 978-80-214-5497-2 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

APPLICATIONS OF THE NEW METHOD OF THE LYAPUNOV EXPONENTS ESTIMATION
Dabrowski A., Balcerzak M., Pikunov D.
pages 266 - 269, full text

In this article we show the new simple and effective method of Lyapunov Exponents (LE) estimation, based on the perturbation vector and its derivative dot product analysis. We show that presented method can be applied in different aspects of the nonlinear systems control. Moreover, our method is based on very simple computations, involving only basic mathematical operations, such as summing, subtracting, multiplying, dividing, thus it can be easier to apply than other methods. As the actual Lyapunov exponent value is calculated before the next integration step it does not involve an integration errors.


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Text and facts may be copied and used freely, but credit should be given to these Proceedings.

All papers were reviewed by members of the scientific committee.


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