Delay-Induced Transient Oscillations in a Two-Neuron Network

Authors

  • K. Pakdaman Faculté de Medecine Saint-Antoine
  • C. Grotta-Ragazzo Universidade de São Paulo. Instituto de Matemática e Estatística. Princeton University
  • C.P. Malta Universidade de São Paulo. Instituto de Física
  • J.-F. Viber Osaka University. Faculty of Engineering Science

DOI:

https://doi.org/10.11606/resimeusp.v3i1.74856

Keywords:

Continuous time neural network

Abstract

Finite transmission times between neurons, referred to as delays, may appear in hardware implementation of neural networks. We analyze the dynamics of a two-neuron network in which the delay modifies the transient and not the long-term behavior of the network. We show that the delay causes some trajectories to oscillate transiently before reaching stationary behavior and the duration of these transients increases exponentially with the delay. Such a phenomeno deteriorates network performance.

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Published

1997-03-17

Issue

Vol. 3 No. 1 (1997)

Section

Contents

License

Copyright (c) 1997 K. Pakdaman, C. Grotta-Ragazzo, C.P. Malta, J.-F. Viber

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Delay-Induced Transient Oscillations in a Two-Neuron Network. (1997). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 3(1), 45-54. https://doi.org/10.11606/resimeusp.v3i1.74856