Noise-induced Bursting in Rulkov Model / Ryashko L.,Slepukhina E.,Nasyrova V. // . - 2016. - V. 1773, l. .

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

A problem of mathematical modeling and analysis of the stochastic phenomena in neuronal activity is considered. As a basic example, we use the nonlinear Rulkov map-based neuron model with random disturbances. In deterministic case, this one-dimensional model demonstrates quiescence, tonic and chaotic spiking regimes. We show that due to presence of random disturbances, a new regime of noise-induced bursting is generated not only in bistability zones, but also in monostability zones. To estimate noise intensity corresponding to the onset of bursting, the stochastic sensitivity technique and confidence domains method are applied. An efficiency of our approach is confirmed by the statistics of interspike intervals.

Author keywords:

SYSTEMS; CHAOS; ORDER

DOI:

10.1063/1.4964981

Web of Science ID:

ISI:000392692400027

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	060006
ISBN	978-0-7354-1431-0
Keywords-Plus	SYSTEMS; CHAOS; ORDER
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Applied
Author-Email	lev.ryashko@urfu.ru evodokia.slepukhina@urfu.ru foxvenera@gmail.com
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	21
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	4
Doc-Delivery-Number	BG8SA