Chaotic behavior in the time series of pollution concentration
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50015023" target="_blank" >RIV/62690094:18470/18:50015023 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.5593/sgem2018/4.2/S19.048" target="_blank" >http://dx.doi.org/10.5593/sgem2018/4.2/S19.048</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5593/sgem2018/4.2/S19.048" target="_blank" >10.5593/sgem2018/4.2/S19.048</a>
Alternative languages
Result language
angličtina
Original language name
Chaotic behavior in the time series of pollution concentration
Original language description
The paper is focused on manifestations of chaotic behavior in the time series of pollution concentration. Deterministic chaos denotes a type of complex behavior of a deterministic dynamical system. The most important algorithms for data representation, prediction, phase space reconstruction, dimension, entropies, persistence and Lyapunov estimation are applicate here. At first we estimated the time delay and the embedding dimension, which is needed for the Lyapunov exponent estimation and for the phase space reconstruction. Subsequently we computed the largest Lyapunov exponent, which is one of the important indicators of chaos. Then we estimated the correlation dimension and Kolmogorov entropy. If the correlation dimension is low, the largest Lyapunov exponent is positive and the Kolmogorov entropy has a finite positive value, chaos is probably present. From these estimations it can be concluded that chosen time series are chaotic. The results indicated that chaotic behaviors obviously exist in this concentration time series.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Ecology, economics, education and legislation : conference proceedings
ISBN
978-619-7105-18-6
ISSN
1314-2704
e-ISSN
neuvedeno
Number of pages
8
Pages from-to
365-372
Publisher name
SGEM
Place of publication
Sofia
Event location
Albena
Event date
Jul 2, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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