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

Robert Haschke; Jochen J. Steil; Helge Ritter

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

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2001) 2130 1109-1114

DOI: 10.1007/3-540-44668-0_154

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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.

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Haschke, R., Steil, J. J., & Ritter, H. (2001). Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2130, pp. 1109–1114). Springer Verlag. https://doi.org/10.1007/3-540-44668-0_154

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

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