Connection Topology and Dynamics in Lateral Inhibition Networks

Abstract

We show analytically how the stability of two-dimensional lateral inhibition neural networks depends on the local connection topology. For various network topologies, we calculate the critical time delay for the onset of oscillation in continuous-time networks and present analytic phase diagrams characterizing the dynamics of discrete-time networks.

Cite

Text

Marcus et al. "Connection Topology and Dynamics in Lateral Inhibition Networks." Neural Information Processing Systems, 1990.

Markdown

[Marcus et al. "Connection Topology and Dynamics in Lateral Inhibition Networks." Neural Information Processing Systems, 1990.](https://mlanthology.org/neurips/1990/marcus1990neurips-connection/)

BibTeX

@inproceedings{marcus1990neurips-connection,
  title     = {{Connection Topology and Dynamics in Lateral Inhibition Networks}},
  author    = {Marcus, C.M and Waugh, F. R. and Westervelt, R. M.},
  booktitle = {Neural Information Processing Systems},
  year      = {1990},
  pages     = {98-104},
  url       = {https://mlanthology.org/neurips/1990/marcus1990neurips-connection/}
}