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  • 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. (en)
Title
  • Hidden Periodicity - Chaos Dependance on Numerical Precision
  • Hidden Periodicity - Chaos Dependance on Numerical Precision (en)
skos:prefLabel
  • Hidden Periodicity - Chaos Dependance on Numerical Precision
  • Hidden Periodicity - Chaos Dependance on Numerical Precision (en)
skos:notation
  • RIV/61989100:27240/13:86088781!RIV14-GA0-27240___
http://linked.open...avai/riv/aktivita
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  • P(ED2.1.00/03.0089), P(GA13-08195S), S
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  • 77303
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  • RIV/61989100:27240/13:86088781
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  • 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 (en)
http://linked.open.../riv/klicoveSlovo
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  • [C589D002F44F]
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  • Ostrava
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  • Heidelberg
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  • Advances in Intelligent Systems and Computing. Volume 210
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  • Davendra, Donald David
  • Zelinka, Ivan
  • Šenkeřík, Roman
  • Pluháček, Michal
  • Lampinen, Jouni
  • Chadli, Mohammed
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issn
  • 2194-5357
number of pages
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  • 10.1007/978-3-319-00542-3_7
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  • Springer-Verlag
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  • 978-3-319-00541-6
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  • 27240
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