Lyapunov exponents – practical computation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F17%3A00474702" target="_blank" >RIV/68378297:_____/17:00474702 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Lyapunov exponents – practical computation
Original language description
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.
Czech name
—
Czech description
—

Project
<a href="/en/project/GA15-01035S" target="_blank" >GA15-01035S: Dynamic stability and post-critical processes in non-conservative and non-holonomic stochastic systems with interactions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Engineering Mechanics 2017
ISBN
978-80-214-5497-2
ISSN
1805-8248
e-ISSN
—
Number of pages
4
Pages from-to
310-313
Publisher name
University of technology, Institute of Solid Mechanics, Mechatronics and Biomechanics
Place of publication
Brno
Event location
Svratka
Event date
May 15, 2017
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000411657600067

Similar results(10)