@inproceedings{5e2604d20f5a4b11ac68c88b9b9c9d4e,
title = "Stochastic dynamics and chaos in the 3D Hindmarsh-Rose model",
abstract = "We study the effect of random disturbances on the three-dimensional Hindmarsh-Rose model of neural activity. In a parametric zone, where the only attractor of the system is a stable equilibrium, a stochastic generation of bursting oscillations is observed. For a sufficiently small noise, random states concentrate near the equilibrium. With an increase of the noise intensity, along with small-amplitude oscillations around the equilibrium, bursts are observed. The relationship of the noise-induced generation of bursts with system transitions from order to chaos is discussed. For a quantitative analysis of these stochastic phenomena, an approach based on the stochastic sensitivity function technique is suggested.",
keywords = "excitability, Hindmarsh-Rose model, noise-induced chaotization, noise-induced oscillations, stochastic sensitivity",
author = "Lev Ryashko and Irina Bashkirtseva and Evdokia Slepukhina and Sergei Fedotov",
year = "2016",
month = dec,
day = "6",
doi = "10.1063/1.4968746",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "Zacharoula Kalogiratou and Simos, {Theodore E.} and Theodore Monovasilis and Simos, {Theodore E.} and Simos, {Theodore E.}",
booktitle = "International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016",
address = "United States",
note = "International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016 ; Conference date: 17-03-2016 Through 20-03-2016",
}