Evolution to the Edge of Chaos in Imitation Game

Details Evolution to the Edge of Chaos in Imitation Game Evolution to the Edge of Chaos in Imitation Game

1993-03-08

arxiv.org/abs/adap-org/9303002v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

CYCLER Paper 93mar006. 8 pages, LaTex. (3.28 revised for minor LaTeX changes)

Scientific paper

Motivated by the evolution of complex bird songs, an abstract imitation game is proposed to study the increase of dynamical complexity: Artificial "birds" display a "song" time series to each other, and those that imitate the other's song better win the game. With the introduction of population dynamics according to the score of the game and the mutation of parameters for the song dynamics, the dynamics is found to evolve towards the borderline between chaos and a periodic window, after punctuated equilibria. The importance of edge of chaos with topological chaos for complexity is stressed.

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