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Influence of Chaotic Dynamics on the Performance of Differential Evolution Algorithm

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Part of the book series: Emergence, Complexity and Computation ((ECC,volume 5))

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Abstract

This paper outlines the extended investigations on the concept of a chaos driven Differential Evolution. The focus of this paper is the embedding of chaotic systems in the form of chaos number generator for Differential Evolution. The chaotic systems of interest are the discrete dissipative systems. Three chaotic systems were selected as possible chaos number generators for Differential Evolution. Repeated simulations were performed on the set of six basic benchmark functions. Finally, the obtained results are compared with canonical Differential Evolution.

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Acknowledgments

This work was supported by Grant Agency of the Czech Republic GACR P103/13/08195S; by the project Development of human resources in research and development of latest soft computing methods and their application in practice, reg. no. CZ.1.07/2.3.00/20.0072 funded by Operational Program Education for Competitiveness, co- financed by ESF and state budget of the 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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Authors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlin, Nam T.G. Masaryka 5555, 76001, Zlin, Czech Republic

    Roman Senkerik & Zuzana Oplatkova

  2. Faculty of Electrical Engineering and Computer Science, Technical University of Ostrava, 17. listopadu 15, 70833, Ostrava-Poruba, Czech Republic

    Donald Davendra & Ivan Zelinka

Authors
  1. Roman Senkerik
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  2. Donald Davendra
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  3. Ivan Zelinka
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  4. Zuzana Oplatkova
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Corresponding author

Correspondence to Roman Senkerik .

Editor information

Editors and Affiliations

  1. Department of Computer Science, Faculty of Electrical Engineering and, VÅ B-TUO, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Ivan Zelinka

  2. , Institute for Theoretical Physics, University of Tübingen, Room D8 A32, Auf der Morgenstelle 14, Tübingen, 72076, Germany

    Ali Sanayei

  3. Kroto Research Institute, Department of Computer Science, The University of Sheffield, Regent Court, 211, Portobello, S1 4DP, United Kingdom

    Hector Zenil

  4. , Institute for Physical and, University of Tübingen, Auf der Morgenstelle 8, Tübingen, 72076, Germany

    Otto E. Rössler

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Senkerik, R., Davendra, D., Zelinka, I., Oplatkova, Z. (2014). Influence of Chaotic Dynamics on the Performance of Differential Evolution Algorithm. In: Zelinka, I., Sanayei, A., Zenil, H., Rössler, O. (eds) How Nature Works. Emergence, Complexity and Computation, vol 5. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00254-5_12

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  • DOI: https://doi.org/10.1007/978-3-319-00254-5_12

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  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00253-8

  • Online ISBN: 978-3-319-00254-5

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