What makes a dynamical system computationally powerful?
Robert Legenstein and Wolfgang Maass
In: New Directions in Statistical Signal Processing: From Systems to Brain (2005) MIT Press .

Abstract

We review methods for estimating the computational capability of a complex dynamical system. The main examples that we discuss are models for cortical neural microcircuits with varying degrees of biological accuracy, in the context of online computations on complex input streams. We address in particular the question to what extent earlier results about the relationship between the edge of chaos and thecomputational power of dynamical systems in discrete time for off-line computing also apply to this case.

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