Controlling Oscillatory Behaviour of a Two Neuron Recurrent Neural Network Using Inputs
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.
KeywordsHopf Bifurcation Oscillatory Behaviour Bifurcation Parameter Saddle Node Bifurcation Cellular Neural Network
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