Institute of Information Theory and Automation

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Bibliography

Conference Paper (international conference)

On Some False Chaos Indicators When Analyzing Sampled Data

Augustová Petra, Beran Zdeněk, Čelikovský Sergej

: ISCS 2014: Interdisciplinary Symposium on Complex Systems, p. 249-258 , Eds: Sanayei A., Rossler E. O., Zelinka I.

: ISCS 2014: The Interdisciplinary Symposium on Complex Systems, (Florencie, IT, 15.09.2014-18.09.2014)

: GA13-20433S, GA ČR

: Chaos, Lorenz systems, Lyapunov exponent

: 10.1007/978-3-319-10759-2

(eng): The main aim of this paper is to demonstrate a possible risk of erroneous conclusions made throughout the process of the sampled data analysis. In particular, it will be shown that the false chaotic behavior of the sampled data may be incorrectly derived from the topological similarity with the already well known chaotic systems like that of Lorenz or from the positivity of the largest Lyapunov exponent. The possible faulty conclusions will be demonstrated using some examples that were recently published in various literature sources.

: BC

2019-01-07 08:39