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Knowledge-Driven Computing pp 117–131Cite as

On Use of Unstable Behavior of a Dynamical System Generated by Phenotypic Evolution

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 102))

Summary

A dynamical system model of the simple evolutionary process is considered. Evolution running with proportional selection and normally distributed mutation is regarded on phenotypic level. Fixed points of the system and their stability for various fitness functions: symmetrical and asymmetrical, uni- and bimodal, are provided. The system demonstrates an unstable behavior for certain parameters of the process. The knowledge obtained from the study can be exploited to set parameters of the process applied to optimization tasks or to identify parameters of an unknown fitness function in the case of “black-box” tasks.

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References

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Author information

Authors and Affiliations

  1. Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wyb. Wyspianskiego 27, 50-362, Wrocław, Poland

    Iwona Karcz-Dulęba

Authors
  1. Iwona Karcz-Dulęba
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Editor information

Editors and Affiliations

  1. ETSI Informática (3.2.49) UMA, Campus de Teatinos, 29071, Málaga, Spain

    Carlos Cotta

  2. Department of Mathematics, The Technion – Israel Institute of Technology, 32000, Haifa, Israel

    Simeon Reich

  3. Institute of Informatics, AGH – University of Science and Technology, al. Mickiewicza 30, 30-059, Kraków, Poland

    Robert Schaefer

  4. Institute of Automatics, AGH – University of Science and Technology, al. Mickiewicza 30, 30-059, Kraków, Poland

    Antoni Ligęza

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© 2008 Springer-Verlag Berlin Heidelberg

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Karcz-Dulęba, I. (2008). On Use of Unstable Behavior of a Dynamical System Generated by Phenotypic Evolution. In: Cotta, C., Reich, S., Schaefer, R., Ligęza, A. (eds) Knowledge-Driven Computing. Studies in Computational Intelligence, vol 102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77475-4_8

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  • DOI: https://doi.org/10.1007/978-3-540-77475-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77474-7

  • Online ISBN: 978-3-540-77475-4

  • eBook Packages: EngineeringEngineering (R0)

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