Controlling Oscillatory Behaviour of a Two Neuron Recurrent Neural Network Using Inputs

  • Robert Haschke
  • Jochen J. Steil
  • Helge Ritter
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2130)

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Robert Haschke
    • 1
  • Jochen J. Steil
    • 1
  • Helge Ritter
    • 1
  1. 1.Department of Computer Science, Neuroinformatics GroupUniversity of BielefeldBielefeldGermany

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