Engineering Mechanics

International Conference

Proceedings Vol. 23 (2017)


May 15 – 18, 2017, Svratka, Czech Republic
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)

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Fischer C., Náprstek J.
pages 310 - 313, full text

The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possible divergence of nearby trajectories of the solution. In this way they express dependence of the dynamical system on initial conditions. However, the value of Lyapunov exponents consists in their ability to characterise deterministic chaos. The limiting process intrinsic in the definition of Lyapunov exponents, unfortunately, seriously complicates their computation. The short paper presents an overview of difficulties in numerical approaches to enumeration of Lyapunov exponents or at least the largest one and shows a promising method based on QR decomposition of the system Jacobian.

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