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Chaos Detection with Lyapunov Exponents in Dynamical System Generated by Evolutionary Process

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Artificial Intelligence and Soft Computing – ICAISC 2006 (ICAISC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4029))

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Abstract

The model of phenotypic evolution is considered where a population is ruled by proportional selection and normally distributed mutation. Expected values of the population state generate a discrete dynamical system. The system displays various asymptotic behavior depending on a fitness function and a mutation parameter. Stable fixed points, period-doubling bifurcations and chaos are observed. Lyapunov exponents are used to detect chaos in the system for some fitness functions.

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Author information

Authors and Affiliations

  1. Inst. of Computer Engineering, Control and Robotics, Wroclaw Univ. of Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland

    Iwona Karcz-Dulęba

Authors
  1. Iwona Karcz-Dulęba
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Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Academy of Humanities and Economics, Poland

    Leszek Rutkowski

  2. Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, PL-30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  3. Department of Electrical Engineering and Computer Sciences, Berkeley Initiative in Soft Computing (BISC), University of California, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  4. Department of Electrical Engineering, University of Louisville, 40292, Louisville, KY, U.S.A

    Jacek M. Żurada

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© 2006 Springer-Verlag Berlin Heidelberg

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Karcz-Dulęba, I. (2006). Chaos Detection with Lyapunov Exponents in Dynamical System Generated by Evolutionary Process. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_41

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  • DOI: https://doi.org/10.1007/11785231_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35748-3

  • Online ISBN: 978-3-540-35750-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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