Stochastic sensitivity analysis of the noise-induced excitability in a model of a hair bundle / Bashkirtseva Irina,Neiman Alexander B.,Ryashko Lev // PHYSICAL REVIEW E. - 2013. - V. 87, l. 5.

ISSN/EISSN:

2470-0045 / 2470-0053

Type:

Article

Abstract:

We study effect of weak noise on the dynamics of a hair bundle model near the excitability threshold and near a subcritical Hopf bifurcation. We analyze numerically noise-induced structural changes in the probability density and the power spectral density of the model. In particular, we show that weak noise can induce oscillations with two distinct frequencies in both excitable and limit-cycle regimes. We then applied a recently developed technique of stochastic sensitivity functions which allows us to estimate threshold values of noise intensity corresponding to these transitions.

Author keywords:

INTERSPIKE INTERVAL STATISTICS; COHERENCE RESONANCE; HOPF-BIFURCATION; SYSTEMS; OSCILLATIONS; 3D-CYCLES; CHAOS

DOI:

10.1103/PhysRevE.87.052711

Web of Science ID:

ISI:000319209900007

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAY 17
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	052711
EISSN	2470-0053
Keywords-Plus	INTERSPIKE INTERVAL STATISTICS; COHERENCE RESONANCE; HOPF-BIFURCATION; SYSTEMS; OSCILLATIONS; 3D-CYCLES; CHAOS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	irina.bashkirtseva@usu.ru neimana@ohio.edu lev.ryashko@usu.ru
ResearcherID-Numbers	Neiman, Alexander/G-2196-2010
ORCID-Numbers	Neiman, Alexander/0000-0002-0906-9894
Funding-Acknowledgement	Ministry of Education and Science of Russia {[}1.1099.2011]; RFBR {[}13-08-00069]
Funding-Text	This work was partially supported by the Ministry of Education and Science of Russia (Grant No. 1.1099.2011) and RFBR (Grant No. 13-08-00069).
Number-of-Cited-References	47
Usage-Count-Since-2013	4
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	147ZC