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Mathematics of Hebbian attractors

Published online by Cambridge University Press:  04 February 2010

Morris W. Hirsch
Morris W. Hirsch
Affiliation:
Department of Mathematics. University of California, Berkeley CA 94720. hirsch@math.berkeley.edu
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Abstract

The concept of an attractor in a mathematical dynamical system is reviewed. Emphasis is placed on the distinction between a cell assembly, the corresponding attractor, and the attractor dynamics. The biological significance of these entities is discussed, especially the question of whether the representation of the stimulus requires the full attractor dynamics, or merely the cell assembly as a set of reverberating neurons. Comparison is made to Freeman's study of dynamic patterns in olfaction.

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Open Peer Commentary
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Behavioral and Brain Sciences , Volume 18 , Issue 4 , December 1995, pp. 633 - 634
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Copyright © Cambridge University Press 1995

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