A discrete time neural network model with spiking neurons View Full Text


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Article Info

DATE

2008-03

AUTHORS

B. Cessac

ABSTRACT

We derive rigorous results describing the asymptotic dynamics of a discrete time model of spiking neurons introduced in Soula et al. (Neural Comput. 18, 1, 2006). Using symbolic dynamic techniques we show how the dynamics of membrane potential has a one to one correspondence with sequences of spikes patterns ("raster plots"). Moreover, though the dynamics is generically periodic, it has a weak form of initial conditions sensitivity due to the presence of a sharp threshold in the model definition. As a consequence, the model exhibits a dynamical regime indistinguishable from chaos in numerical experiments. More... »

PAGES

311-345

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00285-007-0117-3

DOI

http://dx.doi.org/10.1007/s00285-007-0117-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1011148568

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/17874106


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