Mathematical analysis of continuous time active and adaptive dynamics of artificial neural network in star shape

Abstract

The present paper gives a detailed mathematical description of continuous time active and adaptive dynamics of an articial neural network, based on adaptive resonance theory and consisting in solving systems of dierential equations. The mathematical description uses the example of a simple star-shaped arti ial neural network for two dierently parameterized cases of general equations including the evaluation of both learning methods and both their functions.