Threshold-dependent Limit Cycles in a Nonlinear Network Model.
A mathematical model of the dynamics of a neural network, in which synaptic strength varies simultaneously with activation, is analyzed. This feedback network, with infinite-gain transfer function, is described by a system of ordinary differential equations. It is shown that the resulting discontinuous nonlinear dynamical system has multiple stable periodic solutions. The existence of these periodic attractors depends critically on the value of the threshold parameter; and by varying the threshold the network can be made to cycle through a sequence of attracting states. Copyright 1997 Elsevier Science Ltd.
Noonburg
V W.
VW
University of Hartford, West Hartford, CT 06117, USA