Activity of any neuron with delayed feedback stimulated with Poisson stream is non-Markov
Neurons and Cognition
2015-08-19 v1 Probability
Abstract
For a class of excitatory spiking neuron models with delayed feedback fed with a Poisson stochastic process, it is proven that the stream of output interspike intervals cannot be presented as a Markov process of any order. Keywords: spiking neuron; Poisson stochastic process; probability density function; delayed feedback; non-Markov stochastic process
Keywords
Cite
@article{arxiv.1503.03312,
title = {Activity of any neuron with delayed feedback stimulated with Poisson stream is non-Markov},
author = {Alexander K. Vidybida},
journal= {arXiv preprint arXiv:1503.03312},
year = {2015}
}
Comments
15 pages, 2 figures, 25 Refs