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Chaos Level Measurement in Logistic Map Used as the Chaotic Numbers Generator in Differential Evolution

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Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 289))

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Abstract

In present time some researchers use chaotic numbers generators in evolutionary algorithms like differential evolution, SOMA or particle swarm optimization. These chaotic numbers generators are based on chaotic discrete systems which replace pseudorandom numbers generators like Mersenne Twister, Xorshift etc. In this paper we will investigate the influence of chaos level in logistic map which is used as chaotic numbers generator to the convergence’s speed of differential evolution to the global minimum of testing functions.

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Author information

Authors and Affiliations

  1. Department of Computer Science, VSB - Technical university of Ostrava, 17. listopadu 15/2172, 708 33, Ostrava - Poruba, Czech Republic

    Lenka Skanderova & Ivan Zelinka

  2. MERLIN, Ton Duc Thang University, 19 Nguyen Huu Tho Str., Dist. 7, Ho Chi Minh City, Vietnam

    Ivan Zelinka, Tran Trong Dao & Duy Vo Hoang

Authors
  1. Lenka Skanderova
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  2. Ivan Zelinka
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  3. Tran Trong Dao
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  4. Duy Vo Hoang
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Corresponding author

Correspondence to Lenka Skanderova .

Editor information

Editors and Affiliations

  1. Department of Computer Science, VĹ B-TUO, Ostrava-Poruba, Czech Republic

    Ivan Zelinka

  2. Nanyang Technological University, Singapore, Singapore

    Ponnuthurai Nagaratnam Suganthan

  3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China

    Guanrong Chen

  4. Department of Computer Science, VĹ B-TUO, Ostrava-Poruba, Czech Republic

    Vaclav Snasel

  5. Scientific Network for Innovation and Research Excellence, Machine Intelligence Research Labs (MIR Labs), Auburn, Washington, USA

    Ajith Abraham

  6. Institute for Physical and Theoretical Chemistry, University of TĂĽbingen, TĂĽbingen, Baden-WĂĽrttemberg, Germany

    Otto Rössler

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Skanderova, L., Zelinka, I., Dao, T.T., Hoang, D.V. (2014). Chaos Level Measurement in Logistic Map Used as the Chaotic Numbers Generator in Differential Evolution. In: Zelinka, I., Suganthan, P., Chen, G., Snasel, V., Abraham, A., Rössler, O. (eds) Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol 289. Springer, Cham. https://doi.org/10.1007/978-3-319-07401-6_1

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  • DOI: https://doi.org/10.1007/978-3-319-07401-6_1

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07400-9

  • Online ISBN: 978-3-319-07401-6

  • eBook Packages: EngineeringEngineering (R0)

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