In this paper we present a simple evolutionary model of childrens' language
development, whose central nonlinearity is represented by noninvertible di
screte dynamical systems. The underlying assumption of the model is that ch
ildren learn from other children through their interactions. The concrete l
earning mechanism used is based on imitation, where childrens' languages ev
olve through attempting to imitate other childrens' utterances. The use of
imitation in evolutionary models has been used, for instance, in evolution
of bird song by Kaneko and Suzuki. The model to be presented here is simila
r to Kaneko and Suzuki's model, the primary difference being the continuous
nature of bird song, in contrast to the discrete nature of childrens' utte
rances.