Detailed Information on Publication Record
2020
Detection of chaotic behavior in time series
PÁNIS, Radim, Martin KOLOŠ and Zdeněk STUCHLÍKBasic information
Original name
Detection of chaotic behavior in time series
Authors
PÁNIS, Radim (703 Slovakia, belonging to the institution), Martin KOLOŠ (203 Czech Republic, belonging to the institution) and Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution)
Edition
Opava, Proceedings of RAGtime 22: Workshops on black holes and neutron stars, p. 221-231, 11 pp. 2020
Publisher
Slezská univerzita v Opavě, Fyzikální ústav v Opavě
Other information
Language
English
Type of outcome
Stať ve sborníku
Field of Study
10308 Astronomy
Country of publisher
Czech Republic
Confidentiality degree
není předmětem státního či obchodního tajemství
Publication form
printed version "print"
References:
RIV identification code
RIV/47813059:19630/20:A0000053
Organization unit
Institute of physics in Opava
ISBN
978-80-7510-432-8
ISSN
Keywords in English
chaos; fractal dimension; recurrence quantification analysis; machine learning; logistic map; time series; tent map
Tags
Tags
International impact
Links
EF19_073/0016951, research and development project.
Změněno: 19/4/2021 18:11, Mgr. Pavlína Jalůvková
Abstract
V originále
Deterministic chaos is phenomenon from nonlinear dynamics and it belongs togreatest advances of twentieth-century science. Chaotic behavior appears apart ofmathematical equations also in wide range in observable nature, so as in there orig-inating time series. Chaos in time series resembles stochastic behavior, but apart ofrandomness it is totally deterministic and therefore chaotic data can provide us use-ful information. Therefore it is essential to have methods, which are able to detectchaos in time series, moreover to distinguish chaotic data from stochastic one. Herewe present and discuss the performance of standard and machine learning methodsfor chaos detection and its implementation on two well known simple chaotic dis-crete dynamical systems - Logistic map and Tent map, which fit to the most of thedefinitions of chaos.