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

  • Iwona Karcz-Dulęba
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4029)


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.


Periodic Orbit Lyapunov Exponent Bifurcation Diagram Population State Chaotic Behavior 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Iwona Karcz-Dulęba
    • 1
  1. 1.Inst. of Computer Engineering, Control and RoboticsWroclaw Univ. of TechnologyWroclawPoland

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