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Stability of capture into parametric autoresonance. / Sultanov, O. A.

In: Proceedings of the Steklov Institute of Mathematics, Vol. 295, 01.12.2016, p. 156-167.

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

Harvard

Sultanov, OA 2016, 'Stability of capture into parametric autoresonance', Proceedings of the Steklov Institute of Mathematics, vol. 295, pp. 156-167. https://doi.org/10.1134/S0081543816090169

APA

Sultanov, O. A. (2016). Stability of capture into parametric autoresonance. Proceedings of the Steklov Institute of Mathematics, 295, 156-167. https://doi.org/10.1134/S0081543816090169

Vancouver

Sultanov OA. Stability of capture into parametric autoresonance. Proceedings of the Steklov Institute of Mathematics. 2016 Dec 1;295:156-167. https://doi.org/10.1134/S0081543816090169

Author

Sultanov, O. A. / Stability of capture into parametric autoresonance. In: Proceedings of the Steklov Institute of Mathematics. 2016 ; Vol. 295. pp. 156-167.

BibTeX

@article{71c173794f37440dad5b3edfded85fb0,
title = "Stability of capture into parametric autoresonance",
abstract = "A mathematical model describing the initial stage of capture into parametric autoresonance in nonlinear oscillating systems is considered. The resonance corresponds to solutions with unboundedly increasing energy. The stability of such solutions with respect to persistent perturbations on an asymptotically large time interval is investigated. A class of admissible perturbations is described for which a capture into parametric autoresonance occurs.",
keywords = "nonlinear oscillations, parametric resonance, perturbations, stability",
author = "Sultanov, {O. A.}",
year = "2016",
month = dec,
day = "1",
doi = "10.1134/S0081543816090169",
language = "English",
volume = "295",
pages = "156--167",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "МАИК {"}Наука/Интерпериодика{"}",

}

RIS

TY - JOUR

T1 - Stability of capture into parametric autoresonance

AU - Sultanov, O. A.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - A mathematical model describing the initial stage of capture into parametric autoresonance in nonlinear oscillating systems is considered. The resonance corresponds to solutions with unboundedly increasing energy. The stability of such solutions with respect to persistent perturbations on an asymptotically large time interval is investigated. A class of admissible perturbations is described for which a capture into parametric autoresonance occurs.

AB - A mathematical model describing the initial stage of capture into parametric autoresonance in nonlinear oscillating systems is considered. The resonance corresponds to solutions with unboundedly increasing energy. The stability of such solutions with respect to persistent perturbations on an asymptotically large time interval is investigated. A class of admissible perturbations is described for which a capture into parametric autoresonance occurs.

KW - nonlinear oscillations

KW - parametric resonance

KW - perturbations

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=85010465204&partnerID=8YFLogxK

U2 - 10.1134/S0081543816090169

DO - 10.1134/S0081543816090169

M3 - Article

AN - SCOPUS:85010465204

VL - 295

SP - 156

EP - 167

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

ER -

ID: 126273462