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Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model. / Slepukhina, Evdokiia; Kügler, Philipp; Bashkirtseva, Irina et al.
In: International Journal of Bifurcation and Chaos, Vol. 33, No. 13, 2350159, 01.10.2023.

Research output: Contribution to journal › Article › peer-review

Harvard

Slepukhina, E, Kügler, P, Bashkirtseva, I & Ryashko, L 2023, 'Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model', International Journal of Bifurcation and Chaos, vol. 33, no. 13, 2350159. https://doi.org/10.1142/S0218127423501596

APA

Slepukhina, E., Kügler, P., Bashkirtseva, I., & Ryashko, L. (2023). Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model. International Journal of Bifurcation and Chaos, 33(13), [2350159]. https://doi.org/10.1142/S0218127423501596

Vancouver

Slepukhina E, Kügler P, Bashkirtseva I, Ryashko L. Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model. International Journal of Bifurcation and Chaos. 2023 Oct 1;33(13):2350159. doi: 10.1142/S0218127423501596

Author

Slepukhina, Evdokiia ; Kügler, Philipp ; Bashkirtseva, Irina et al. / Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model. In: International Journal of Bifurcation and Chaos. 2023 ; Vol. 33, No. 13.

BibTeX

@article{cc2dbdbba5e94cc8b1cf3c01aa70b24b,
title = "Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model",
abstract = "We study the three-dimensional Morris–Lecar–Terman neuron model in the parametric region of tonic spiking oscillations close to the bifurcation of the torus birth. It is shown that in this region random disturbances can induce switching to the toroidal bursting mode from the tonic spiking regime. We approximate the probability of such switches as well as analyze temporal characteristics of produced oscillations. Moreover, we indicate a coherence resonance in the stochastic bursting regime and reveal the underlying reasons of these noise-induced phenomena.",
author = "Evdokiia Slepukhina and Philipp K{\"u}gler and Irina Bashkirtseva and Lev Ryashko",
year = "2023",
month = oct,
day = "1",
doi = "10.1142/S0218127423501596",
language = "English",
volume = "33",
journal = "International Journal of Bifurcation and Chaos",
issn = "0218-1274",
publisher = "World Scientific Publishing Co.",
number = "13",

}

RIS

TY - JOUR

T1 - Noise-Induced Toroidal Bursting Oscillations and Coherence Resonance in the Morris–Lecar–Terman Model

AU - Slepukhina, Evdokiia

AU - Kügler, Philipp

AU - Bashkirtseva, Irina

AU - Ryashko, Lev

PY - 2023/10/1

Y1 - 2023/10/1

N2 - We study the three-dimensional Morris–Lecar–Terman neuron model in the parametric region of tonic spiking oscillations close to the bifurcation of the torus birth. It is shown that in this region random disturbances can induce switching to the toroidal bursting mode from the tonic spiking regime. We approximate the probability of such switches as well as analyze temporal characteristics of produced oscillations. Moreover, we indicate a coherence resonance in the stochastic bursting regime and reveal the underlying reasons of these noise-induced phenomena.

AB - We study the three-dimensional Morris–Lecar–Terman neuron model in the parametric region of tonic spiking oscillations close to the bifurcation of the torus birth. It is shown that in this region random disturbances can induce switching to the toroidal bursting mode from the tonic spiking regime. We approximate the probability of such switches as well as analyze temporal characteristics of produced oscillations. Moreover, we indicate a coherence resonance in the stochastic bursting regime and reveal the underlying reasons of these noise-induced phenomena.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85175860038

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001099547500013

U2 - 10.1142/S0218127423501596

DO - 10.1142/S0218127423501596

M3 - Article

VL - 33

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 13

M1 - 2350159

ER -

ID: 47869931