Stochastic Dynamics and Chaos in the 3D Hindmarsh-Rose Model / Ryashko Lev,Bashkirtseva Irina,Slepukhina Evdokia,Fedotov Sergei // . - 2016. - V. 1790, l. .

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

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.

Author keywords:

Hindmarsh Rose model; excitability; noise-induced oscillations; noise-induced chaotization; stochastic sensitivity NOISE

DOI:

10.1063/1.4968746

Web of Science ID:

ISI:000389449900109

Соавторы в МНС:

Другие поля

Поле	Значение
Editor	Simos, TE and Kalogiratou, Z and Monovasilis, T
Booktitle	Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2016 (ICCMSE-2016)
Series	AIP Conference Proceedings
Note	International Conference of Computational Methods in Sciences and Engineering (ICCMSE), Athens, GREECE, MAR 17-20, 2016
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	UNSP 150007
ISBN	978-0-7354-1454-9
Keywords-Plus	NOISE
Research-Areas	Computer Science; Physics
Web-of-Science-Categories	Computer Science, Interdisciplinary Applications; Physics, Applied
ORCID-Numbers	Slepukhina, Evdokia/0000-0003-3523-6147
Number-of-Cited-References	11
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	3
Doc-Delivery-Number	BG5ER