Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs

TitleControlling oscillatory behaviour of a two neuron recurrent neural network using inputs
Publication TypeConference Paper
Year of Publication2001
AuthorsHaschke R, Steil JJ, Ritter H
EditorDorffner G, Bischof H, Hornik K
Conference NameArtificial Neural Networks - ICANN 2001
PublisherSpringer
Abstract

We derive analytical expressions of codim-1-bifurcations for a fully connected, additive two-neuron network with sigmoidal activations, where the two external inputs are regarded as bifurcation parameters. The obtained Neimark-Sacker bifurcation curve encloses a region in input space with stable oscillatory behaviour, in which it is possible to control the oscillation frequency by adjusting the inputs.

DOI10.1007/3-540-44668-0_154