Noise-induced torus bursting in the stochastic Hindmarsh-Rose neuron model / Ryashko Lev,Slepukhina Evdokia // PHYSICAL REVIEW E. - 2017. - V. 96, l. 3.

ISSN/EISSN:

2470-0045 / 2470-0053

Type:

Article

Abstract:

We study the phenomenon of noise-induced torus bursting on the base of the three-dimensional Hindmarsh-Rose neuron model forced by additive noise. We show that in the parametric zone close to the Neimark-Sacker bifurcation, where the deterministic system exhibits rapid tonic spiking oscillations, random disturbances can turn tonic spiking into bursting, which is characterized by the formation of a peculiar dynamical structure resembling that of a torus. This phenomenon is confirmed by the changes in dispersion of random trajectories as well as the power spectral density and interspike intervals statistics. In particular, we show that as noise increases, the system undergoes P and D bifurcations, transitioning from order to chaos. We ultimately characterize the transition from stochastic (tonic) spiking to bursting by stochastic sensitivity functions.

Author keywords:

COHERENCE RESONANCE; FULL SYSTEM; CHAOS; PERTURBATIONS; OSCILLATIONS; ORDER

DOI:

10.1103/PhysRevE.96.032212

Web of Science ID:

ISI:000410885300001

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP 14
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	032212
EISSN	2470-0053
Keywords-Plus	COHERENCE RESONANCE; FULL SYSTEM; CHAOS; PERTURBATIONS; OSCILLATIONS; ORDER
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	lev.ryashko@urfu.ru evdokia.slepukhina@urfu.ru
Funding-Acknowledgement	Russian Science Foundation (Russia) {[}16-11-10098]
Funding-Text	The work was supported by the Russian Science Foundation (Russia), Grant No. 16-11-10098.
Number-of-Cited-References	42
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	2
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	FH1FN