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Statements

Subject Item
n2:RIV%2F61989100%3A27240%2F13%3A86088781%21RIV14-GA0-27240___
rdf:type
skos:Concept n9:Vysledek
dcterms:description
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. 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.
dcterms:title
Hidden Periodicity - Chaos Dependance on Numerical Precision Hidden Periodicity - Chaos Dependance on Numerical Precision
skos:prefLabel
Hidden Periodicity - Chaos Dependance on Numerical Precision Hidden Periodicity - Chaos Dependance on Numerical Precision
skos:notation
RIV/61989100:27240/13:86088781!RIV14-GA0-27240___
n9:predkladatel
n10:orjk%3A27240
n4:aktivita
n6:S n6:P
n4:aktivity
P(ED2.1.00/03.0089), P(GA13-08195S), S
n4:dodaniDat
n7:2014
n4:domaciTvurceVysledku
n16:3433390 Davendra, Donald David
n4:druhVysledku
n17:D
n4:duvernostUdaju
n20:S
n4:entitaPredkladatele
n14:predkladatel
n4:idSjednocenehoVysledku
77303
n4:idVysledku
RIV/61989100:27240/13:86088781
n4:jazykVysledku
n12:eng
n4:klicovaSlova
Random number generators, Engineering controlled terms: Random number generation,Engineering main heading:; Random generators; Periodic orbits; Numerical precision; External observer; Discrete systems; Deterministic chaos; Chaotic generators
n4:klicoveSlovo
n11:External%20observer n11:Random%20generators n11:Random%20number%20generators n11:Chaotic%20generators n11:Periodic%20orbits n11:Discrete%20systems n11:Numerical%20precision n11:Engineering%20main%20heading%3A n11:Deterministic%20chaos n11:Engineering%20controlled%20terms%3A%20Random%20number%20generation
n4:kontrolniKodProRIV
[C589D002F44F]
n4:mistoKonaniAkce
Ostrava
n4:mistoVydani
Heidelberg
n4:nazevZdroje
Advances in Intelligent Systems and Computing. Volume 210
n4:obor
n13:IN
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
6
n4:projekt
n8:ED2.1.00%2F03.0089 n8:GA13-08195S
n4:rokUplatneniVysledku
n7:2013
n4:tvurceVysledku
Davendra, Donald David Zelinka, Ivan Chadli, Mohammed Šenkeřík, Roman Pluháček, Michal Lampinen, Jouni
n4:typAkce
n19:WRD
n4:zahajeniAkce
2013-06-03+02:00
s:issn
2194-5357
s:numberOfPages
13
n21:doi
10.1007/978-3-319-00542-3_7
n22:hasPublisher
Springer-Verlag
n23:isbn
978-3-319-00541-6
n5:organizacniJednotka
27240