Open AccessМеханизмы перехода от ритмической активности к пачечной в модели ноцицептивного нейрона
Author(s) -
О.Е. Дик
Publication year - 2020
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/jtf.2020.03.48939.93-19
Subject(s) - bifurcation , bifurcation diagram , torus , bursting , limit cycle , physics , saddle node bifurcation , tonic (physiology) , mathematics , statistical physics , mathematical analysis , limit (mathematics) , nonlinear system , geometry , neuroscience , psychology , quantum mechanics
The transitions from tonic spiking to bursting for the nociceptive neuron model have been studied with changing the external stimulus value. The presence of the fold limit cycle bifurcation in the structure of the bifurcation diagram of the fast subsystem and the torus bifurcation in the structure of the bifurcation diagram of the full system lead to the emergence of special solutions of the type torus canards in these transitions. This confirms the assumption that torus canards are an obligatory feature for transitions between rhythmic and burst discharges