Catastrophic Phase Transitions in Exact ART Networks
To study the occurrence of sudden transitions in code development, bifurcation analyses of ART networks were carried out In the interest of biological plausibility, we attempted to implement each ART network completely, including all regulatory and logical functions, as a system of differential equations capable of stand-alone running in real time. In particular, transient network behaviour thus remains intact because no asymptotic approximations were used. The most important functions of Exact ART are emergent properties of the network. Preliminary results of bifurcation analyses are presented. In closing, alternative connectionistic analyses of phase transitions are criticized and it is concluded that these analyses fall short on several accounts compared to Exact ART networks.
KeywordsBifurcation Analysis Biological Plausibility Catastrophe Theory Code Development Equilibrium Behaviour
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