Standard

Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations. / Sultanov, O. A.

в: Computational Mathematics and Mathematical Physics, Том 54, № 1, 01.01.2014, стр. 59-73.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Sultanov, OA 2014, 'Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations', Computational Mathematics and Mathematical Physics, Том. 54, № 1, стр. 59-73. https://doi.org/10.1134/S0965542514010126

APA

Sultanov, O. A. (2014). Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations. Computational Mathematics and Mathematical Physics, 54(1), 59-73. https://doi.org/10.1134/S0965542514010126

Vancouver

Sultanov OA. Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations. Computational Mathematics and Mathematical Physics. 2014 Янв. 1;54(1):59-73. https://doi.org/10.1134/S0965542514010126

Author

Sultanov, O. A. / Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations. в: Computational Mathematics and Mathematical Physics. 2014 ; Том 54, № 1. стр. 59-73.

BibTeX

@article{6076b3e890c44484a6fd55f234599453,
title = "Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations",
abstract = "Systems of differential equations arising in the theory of nonlinear oscillations in resonance-related problems are considered. Of special interest are solutions whose amplitude increases without bound with time. Specifically, such solutions correspond to autoresonance. The stability of autoresonance solutions with respect to random perturbations is analyzed. The classes of admissible perturbations are described. The results rely on information on Lyapunov functions for the unperturbed equations. {\textcopyright} 2014 Pleiades Publishing, Ltd.",
keywords = "autoresonance, Lyapunov function method, random perturbations, stability of solutions, systems of nonlinear oscillation equations",
author = "Sultanov, {O. A.}",
year = "2014",
month = jan,
day = "1",
doi = "10.1134/S0965542514010126",
language = "English",
volume = "54",
pages = "59--73",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations

AU - Sultanov, O. A.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Systems of differential equations arising in the theory of nonlinear oscillations in resonance-related problems are considered. Of special interest are solutions whose amplitude increases without bound with time. Specifically, such solutions correspond to autoresonance. The stability of autoresonance solutions with respect to random perturbations is analyzed. The classes of admissible perturbations are described. The results rely on information on Lyapunov functions for the unperturbed equations. © 2014 Pleiades Publishing, Ltd.

AB - Systems of differential equations arising in the theory of nonlinear oscillations in resonance-related problems are considered. Of special interest are solutions whose amplitude increases without bound with time. Specifically, such solutions correspond to autoresonance. The stability of autoresonance solutions with respect to random perturbations is analyzed. The classes of admissible perturbations are described. The results rely on information on Lyapunov functions for the unperturbed equations. © 2014 Pleiades Publishing, Ltd.

KW - autoresonance

KW - Lyapunov function method

KW - random perturbations

KW - stability of solutions

KW - systems of nonlinear oscillation equations

UR - http://www.scopus.com/inward/record.url?scp=84894607070&partnerID=8YFLogxK

U2 - 10.1134/S0965542514010126

DO - 10.1134/S0965542514010126

M3 - Article

AN - SCOPUS:84894607070

VL - 54

SP - 59

EP - 73

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 1

ER -

ID: 126273576