Activity of any neuron with delayed feedback stimulated with Poisson stream is non-Markov

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

arXiv comment15 pages, 2 figures, 25 Refs

Cited by in corpus (1)

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