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Abstract: This paper demonstrates dynamical system models of genetic algorithms that exhibit cycling and chaotic behavior. The genetic algorithm is a binary-representation genetic algorithm with truncation selection and a density-dependent mutation. (Update)
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BibTeX entry: (Update)
@inproceedings{ wright01cyclic,
author = "Alden H. Wright and Alexandru Agapie",
title = "Cyclic and Chaotic Behavior in Genetic Algorithms",
booktitle = "Proceedings of the Genetic and Evolutionary Computation Conference ({GECCO}-2001)",
month = "7-11",
publisher = "Morgan Kaufmann",
address = "San Francisco, California, USA",
editor = "Lee Spector and Erik D. Goodman and Annie Wu and W. B. Langdon and Hans-Michael Voigt and Mitsuo Gen and Sandip Sen and Marco Dorigo and Shahram Pezeshk and Max H. Garzon and Edmund Burke",
isbn = "1-55860-774-9",
pages = "718--724",
year = "2001",
url = "citeseer.ist.psu.edu/765660.html" }
Citations (may not include all citations):209 Genetic algorithms with sharing for multimodal function opti.. (context) - Goldberg, Richardson - 1987
177 An analysis of the behavior of a class of genetic adaptive s.. (context) - DeJong - 1975
92 The CHC adaptive search algorithm: how to have safe search w.. (context) - Eshelman - 1991
70 The Simple Genetic Algorithm: Foundations and Theory (context) - Vose - 1999
57 Punctuated equilibria in genetic search (context) - Vose, Liepins - 1991
25 Simple genetic algorithms with linear fitness - Vose, Wright - 1994
18 The genetic algorithm fractal (context) - Juliany, Vose - 1994
16 Chaos and Fractals (context) - Peitgen, urgens et al. - 1992
9 Degree of population diversity - a perspective on premature .. - Leung, Gao et al. - 1997
8 A search for counterexamples to two conjectures on the simpl.. - Wright, Bidwell - 1997
2 Stable cycing in discrete-time genetic models (context) - Hastings - 1981
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