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

Autor: Vidybida, Alexander K.
Rok vydání: 2015
Předmět:
Zdroj: J Stat Phys (2015) 160:1507-1518
Druh dokumentu: Working Paper
DOI: 10.1007/s10955-015-1301-2
Popis: 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
Comment: 15 pages, 2 figures, 25 Refs
Databáze: arXiv