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Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation. / Sultanov, O. A.

In: Journal of Mathematical Sciences (United States), Vol. 219, No. 2, 01.11.2016, p. 267-274.

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Harvard

Sultanov, OA 2016, 'Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation', Journal of Mathematical Sciences (United States), vol. 219, no. 2, pp. 267-274. https://doi.org/10.1007/s10958-016-3104-7

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Author

Sultanov, O. A. / Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation. In: Journal of Mathematical Sciences (United States). 2016 ; Vol. 219, No. 2. pp. 267-274.

BibTeX

@article{5a9988fd55cb44c394b1e20280f4bc6c,
title = "Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation",
abstract = "We consider the system of differential equations describing the initial step of capture of nonlinear oscillations in autoresonance under weak dissipation. We study the stability in probability of resonance solutions with unboundedly growing amplitude under persistent random perturbations. Bibliography: 11 titles. Illustrations: 1 Figure",
author = "Sultanov, {O. A.}",
year = "2016",
month = nov,
day = "1",
doi = "10.1007/s10958-016-3104-7",
language = "English",
volume = "219",
pages = "267--274",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation

AU - Sultanov, O. A.

PY - 2016/11/1

Y1 - 2016/11/1

N2 - We consider the system of differential equations describing the initial step of capture of nonlinear oscillations in autoresonance under weak dissipation. We study the stability in probability of resonance solutions with unboundedly growing amplitude under persistent random perturbations. Bibliography: 11 titles. Illustrations: 1 Figure

AB - We consider the system of differential equations describing the initial step of capture of nonlinear oscillations in autoresonance under weak dissipation. We study the stability in probability of resonance solutions with unboundedly growing amplitude under persistent random perturbations. Bibliography: 11 titles. Illustrations: 1 Figure

UR - http://www.scopus.com/inward/record.url?scp=85028247891&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-3104-7

DO - 10.1007/s10958-016-3104-7

M3 - Article

AN - SCOPUS:85028247891

VL - 219

SP - 267

EP - 274

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 126273413