TITLE: Learning in asymptotically behaving neural networks AUTHORS: Dimopoulos, N.J., D. Radvan and W.A. Keddy IN: Proceedings of the 1990 International Joint Conference on Neural Networks, San Diego CA,, vol. III, pp. 233-238, June 1990. ABSTRACT The asymptotic behavior of Neural Networks modeled as a set of nonlinear differential equations of the form T X + X = W*f(X) + b where X is the neural membrane potential vector, W is the network connectivity matrix, and f(X) is the nonlinearity (an essentially sigmoid function), has been studied in [4]. This behavior depends solely on the topology the network as expressed by the connectivity matrix W. In this work, we present some results of Hebbian Learning by neural networks exhibiting asymptotic behavior as stipulated by their connectivity matrices W. We also present the simulator that has been developed specifically for this type of neural networks as well as typical examples.