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Physica D 46 (1990) 449-457 North-Holland
 

Summary: Physica D 46 (1990) 449-457
North-Holland
CHAOS IN A NEURAL NETWORK CIRCUIT *
Thomas B. KEPLER, Sumeet DATT, Robert B. MEYER and L.F. ABBOTT
Physics Department, Brandeis University, Waltham, MA 02254, USA
Received 2 January 1990
Accepted 14 June 1990
Communicated by R.M. Westervelt
We have constructed a neural network circuit of four clipped, high-gain, integrating operational amplifiers coupled to
each other through an array of digitally programmable resistor ladders (MDACs). In addition to fixed-point and cyclic
behavior, the circuit exhibits chaotic behavior with complex strange attractors which are approached through period
doubling, intermittent attractor expansion and/or quasiperiodic pathways. Couplings between the nonlinear circuit elements
are controlled by a computer which can automatically search through the space of couplings for interesting phenomena. We
report some initial statistical results relating the behavior of the network to properties of its coupling matrix. Through these
results and further research the circuit should help resolve fundamental issues concerning chaos in neural networks.
I. Introduction
A neural network, whether biological or elec-
tronic, is a highly coupled system of nonlinear
elements. Neural network research focuses on
designing networks to perform tasks of practical

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine