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How colored noise shifts the boundaries of oscillatory zones in suspension flows. / Bashkirtseva, Irina.
In: Mathematical Methods in the Applied Sciences, Vol. 47, No. 8, 30.05.2024, p. 6822-6829.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Bashkirtseva, I 2024, 'How colored noise shifts the boundaries of oscillatory zones in suspension flows', Mathematical Methods in the Applied Sciences, vol. 47, no. 8, pp. 6822-6829. https://doi.org/10.1002/mma.9281

APA

Bashkirtseva, I. (2024). How colored noise shifts the boundaries of oscillatory zones in suspension flows. Mathematical Methods in the Applied Sciences, 47(8), 6822-6829. https://doi.org/10.1002/mma.9281

Vancouver

Bashkirtseva I. How colored noise shifts the boundaries of oscillatory zones in suspension flows. Mathematical Methods in the Applied Sciences. 2024 May 30;47(8):6822-6829. doi: 10.1002/mma.9281

Author

Bashkirtseva, Irina. / How colored noise shifts the boundaries of oscillatory zones in suspension flows. In: Mathematical Methods in the Applied Sciences. 2024 ; Vol. 47, No. 8. pp. 6822-6829.

BibTeX

@article{b27e38934271451b9addba072357cc9f,
title = "How colored noise shifts the boundaries of oscillatory zones in suspension flows",
abstract = "A mathematical model of the suspension flow forced by colored random disturbances is considered. We focus on the parameter zone adjacent to the Andronov–Hopf bifurcation separating stable equilibrium and self-oscillatory modes. A phenomenon of stochastic excitement with colored-noise-induced generation of spiking oscillations in the equilibrium zone is investigated. We show how colored noise shifts boundaries of oscillation modes, and study dependence of this shift on the correlation time parameter. Zones of the stochastic resonance are revealed and parametrically described in terms of probability of excitement.",
author = "Irina Bashkirtseva",
note = "The research funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority‐2030 Program) is gratefully acknowledged.",
year = "2024",
month = may,
day = "30",
doi = "10.1002/mma.9281",
language = "English",
volume = "47",
pages = "6822--6829",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "John Wiley & Sons Inc.",
number = "8",

}

RIS

TY - JOUR

T1 - How colored noise shifts the boundaries of oscillatory zones in suspension flows

AU - Bashkirtseva, Irina

N1 - The research funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority‐2030 Program) is gratefully acknowledged.

PY - 2024/5/30

Y1 - 2024/5/30

N2 - A mathematical model of the suspension flow forced by colored random disturbances is considered. We focus on the parameter zone adjacent to the Andronov–Hopf bifurcation separating stable equilibrium and self-oscillatory modes. A phenomenon of stochastic excitement with colored-noise-induced generation of spiking oscillations in the equilibrium zone is investigated. We show how colored noise shifts boundaries of oscillation modes, and study dependence of this shift on the correlation time parameter. Zones of the stochastic resonance are revealed and parametrically described in terms of probability of excitement.

AB - A mathematical model of the suspension flow forced by colored random disturbances is considered. We focus on the parameter zone adjacent to the Andronov–Hopf bifurcation separating stable equilibrium and self-oscillatory modes. A phenomenon of stochastic excitement with colored-noise-induced generation of spiking oscillations in the equilibrium zone is investigated. We show how colored noise shifts boundaries of oscillation modes, and study dependence of this shift on the correlation time parameter. Zones of the stochastic resonance are revealed and parametrically described in terms of probability of excitement.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85152389622

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000969317400001

U2 - 10.1002/mma.9281

DO - 10.1002/mma.9281

M3 - Conference article

VL - 47

SP - 6822

EP - 6829

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 8

ER -

ID: 56640941