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)


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.


Hopf Bifurcation Oscillatory Behaviour Bifurcation Parameter Saddle Node Bifurcation Cellular Neural Network 
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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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