Analysis of Stochastic Phenomena in 2D Hindmarsh-Rose Neuron Model / Bashkirtseva I.,Ryashko L.,Slepukhina E. // . - 2016. - V. 1773, l. .

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

In mathematical research of neuronal activity, conceptual models play an important role. We consider 2D Hindmarsh-Rose model, which exhibits the fundamental property of neuron, the excitability. We study how random disturbances affect this property. The effects of noise are analysed in the parametric zone where the deterministic model is characterized by the coexistence of two stable equilibria. We show that under random disturbances, noise-induced transitions between the attractors occur, forming a new complex dynamic regime of stochastic bursting. It is confirmed by changes of distribution of random trajectories and interspike intervals. For the analysis of this noise-induced phenomenon, we apply the stochastic sensitivity technique and confidence domains method. We suggest a method for estimation of threshold noise intensity corresponding to the onset of noise-induced bursting. We show that the obtained values are in a good agreement with direct numerical simulations.

Author keywords:

NOISE; CHAOS; PERTURBATIONS; SENSITIVITY; SYSTEMS; ORDER

DOI:

10.1063/1.4964978

Web of Science ID:

ISI:000392692400024

Соавторы в МНС:

Другие поля

Поле	Значение
Editor	Todorov, MD
Booktitle	APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS'16)
Series	AIP Conference Proceedings
Note	8th International Conference on Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS), Albena, BULGARIA, JUN 22-27, 2016
Organization	Euro Amer Consortium Promoting Applicat Math Tech \& Nat Sci
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	060003
ISBN	978-0-7354-1431-0
Keywords-Plus	NOISE; CHAOS; PERTURBATIONS; SENSITIVITY; SYSTEMS; ORDER
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Applied
Author-Email	Irina.Bashkirtseva@urfu.ru Lev.Ryashko@urfu.ru Evdokia.Slepukhina@urfu.ru
ORCID-Numbers	Slepukhina, Evdokia/0000-0003-3523-6147
Funding-Acknowledgement	Russian Science Foundation {[}N 16-11-10098]
Funding-Text	The work was supported by Russian Science Foundation (N 16-11-10098).
Number-of-Cited-References	19
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	2
Doc-Delivery-Number	BG8SA