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Hidden periodicity - chaos dependance on numerical precision

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dc.title Hidden periodicity - chaos dependance on numerical precision en
dc.contributor.author Zelinka, Ivan
dc.contributor.author Chadli, Mohammed
dc.contributor.author Davendra, Donald David
dc.contributor.author Šenkeřík, Roman
dc.contributor.author Pluháček, Michal
dc.contributor.author Lampinen, Jouni
dc.relation.ispartof Advances in Intelligent Systems and Computing
dc.identifier.issn 2194-5357 OCLC, Ulrich, Sherpa/RoMEO, JCR
dc.identifier.isbn 9783319005416
dc.date.issued 2013
utb.relation.volume 210
dc.citation.spage 47
dc.citation.epage 59
dc.type article
dc.language.iso en
dc.publisher Springer en
dc.identifier.doi 10.1007/978-3-319-00542-3_7
dc.relation.uri http://link.springer.com/chapter/10.1007/978-3-319-00542-3_7
dc.description.abstract Deterministic chaos has been observed in many systems and seems to be random-like for external observer. Chaos, especially of discrete systems, has been used on numerous occasions in place of random number generators in so called evolutionary algorithms. When compared to random generators, chaotic systems generate values via so called map function that is deterministic and thus, the next value can be calculated, i.e. between elements of random series is no deterministic relation, while in the case of chaotic system it is. Despite this fact, the very often use of chaotic generators improves the performance of evolutionary algorithms. In this paper, we discuss the behavior of two selected chaotic system (logistic map and Lozi system) with dependance on numerical precision and show that numerical precision causes the appearance of many periodic orbits and explain reason why it is happens. © Springer International Publishing Switzerland 2013. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1003427
utb.identifier.obdid 43869940
utb.identifier.scopus 2-s2.0-84880395307
utb.source j-scopus
dc.date.accessioned 2013-08-02T09:10:18Z
dc.date.available 2013-08-02T09:10:18Z
utb.contributor.internalauthor Šenkeřík, Roman
utb.contributor.internalauthor Pluháček, Michal
utb.fulltext.affiliation Ivan Zelinka, Mohammed Chadli, Donald Davendra, Roman Senkerik, Michal Pluhacek, and Jouni Lampinen Ivan Zelinka · Donald Davendra VSB-Technical University of Ostrava, 17. listopadu 15 708 33, Ostrava-Poruba, Czech Republic e-mail: ivan.zelinka@vsb.cz Roman Senkerik · Michal Pluhacek Faculty of Applied Informatics, Tomas Bata University in Zlin e-mail: senkerik@fai.utb.cz Mohammed Chadli Laboratory of Modeling, Information & Systems (MIS), University of Picardie Jules Verne (UPJV), 33 rue Saint-Leu, 80039 Amiens Cedex 1, France e-mail: mchadli@u-picardie.fr Jouni Lampinen University of Vaasa, Department of Computer Science, P.O. Box 700, FI-65101 Vaasa, Finland e-mail: antlam@uwasa.fi
utb.fulltext.dates -
utb.fulltext.sponsorship The following two grants are acknowledged for the financial support provided for this research: Grant Agency of the Czech Republic - GACR P103/13/08195S, by the Development of human resources in research and development of latest soft computing methods and their application in practice project, reg. no. CZ.1.07/2.3.00/20.0072 funded by Operational Programme Education for Competitiveness, co-financed by ESF and state budget of the Czech Republic, partially supported by Grant of SGS No. SP2013/114, VSB - Technical University of Ostrava, Czech Republic, and by European Regional Development Fund under the project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089.
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