Analysis of excitability for the FitzHugh-Nagumo model via a stochastic sensitivity function technique / Bashkirtseva Irina,Ryashko Lev // PHYSICAL REVIEW E. - 2011. - V. 83, l. 6, 1.

ISSN/EISSN:

2470-0045 / 2470-0053

Type:

Article

Abstract:

We study excitability phenomena for the stochastically forced FitzHugh-Nagumo system modeling a neural activity. Noise-induced changes in the dynamics of this model can be explained by the high stochastic sensitivity of its attractors. Computational methods based on the stochastic sensitivity functions technique are suggested for the analysis of these attractors. Our method allows us to construct confidence ellipses and estimate a threshold value of a noise intensity corresponding to the neuron excitement. On the basis of the proposed technique, a supersensitive limit cycle is found for the FitzHugh-Nagumo model.

Author keywords:

COHERENCE RESONANCE; NOISE; SYSTEMS; BIFURCATIONS; PERTURBATIONS; 3D-CYCLES; IMPULSES; SPIKING; CYCLES; CHAOS

DOI:

10.1103/PhysRevE.83.061109

Web of Science ID:

ISI:000291701800001

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUN 10
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	061109
EISSN	2470-0053
Keywords-Plus	COHERENCE RESONANCE; NOISE; SYSTEMS; BIFURCATIONS; PERTURBATIONS; 3D-CYCLES; IMPULSES; SPIKING; CYCLES; CHAOS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	lev.ryashko@usu.ru
Funding-Acknowledgement	{[}RFBR09-01-00026]; {[}09-08-00048]; {[}10-01-96022\_ural]
Funding-Text	This work was partially supported by Grants No. RFBR09-01-00026, No. 09-08-00048, and No. 10-01-96022\_ural.
Number-of-Cited-References	36
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	7
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	778KE