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Mitchener, W. G. and Nowak, M. A. (2004) Chaos and Language. Proceedings of The Royal Society of London. Series B, Biological Sciences, 271(1540):701--704.
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Abstract

Human language is a complex and expressive communication system. Children spontaneously develop a native language from speech they hear in their community. Languages change dramatically and unpredictably by accumulating small changes over time and by interacting with other languages. This paper describes a mathematical model illustrating language change. Children learn their parents' language imperfectly, and in the case presented here, the result is a simulated population that maintains an ever-changing mixture of grammars. This research is part of a growing attempt to use mathematical models to better understand the social and biological history of language.

Keywords: language, evolution, game dynamics, learning, dynamical systems, chaos

BibTex
@article{mitchener04chaosAndLanguage,
  author={W. G. Mitchener and M. A. Nowak},
  title={Chaos and Language},
  journal={Proceedings of The Royal Society of London. Series B, Biological Sciences},
  year={2004},
  volume={271},
  number={1540},
  pages={701-704},
  doi={10.1098/rspb.2003.2643},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/mitchener04chaosAndLanguage.html},
  keywords={language, evolution, game dynamics, learning, dynamical systems, chaos}
}


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