chapter  19
20 Pages

Oscillations in Discrete and Continuous Hopfield Networks

ByArun Jagota, Xin Wang

This chapter is crisply partitioned into two parts: one dealing with oscillations in discrete Hopfield networks and the other with oscillations in continuous Hopfield networks. The single theme spanning both parts is that of the Hopfield model and its energy function. The first part deals with analyzing oscillations in the discrete Hopfield network with symmetric weights, and speculating on possible uses of such behavior. By imposing certain restrictions on the weights, an exact characterization of the oscillatory behavior is obtained. Possible uses of this characterization are examined.