Chaos detection with lyapunov exponents in dynamical system generated by evolutionary process

Authors:
Iwona Karcz-Dulęba
Affiliations:
Inst. of Computer Engineering, Control and Robotics, Wroclaw Univ. of Technology, Wroclaw, Poland
Venue:
ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
Year:
2006

Citing 2
Cited 0

The Simple Genetic Algorithm: Foundations and Theory

The Simple Genetic Algorithm: Foundations and Theory
Dynamics of two-element populations in the space of population states

IEEE Transactions on Evolutionary Computation

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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.