Delay-Induced Transient Oscillations in a Two-Neuron Network

Authors

  • K. Pakdaman Faculté de Medecine Saint-Antoine
  • C. Grotta-Ragazzo Instituto de Matematica. e Estatistica, Universidade de São Paulo Mathematics Department, Princeton University
  • C.P. Malta Instituto de Fisica, Universidade de Sao Paulo
  • J.-F. Viber Department of Biophysical Engineering, Faculty of Engineering Science, Osaka University

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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Issue

Vol. 3 No. 1 (1997)

Section

Contents

How to Cite

Delay-Induced Transient Oscillations in a Two-Neuron Network. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 3(1), 45-54. https://doi.org/10.11606/resimeusp.v3i1.74856