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Random perturbations of parametric autoresonance. / Sultanov, Oskar.

In: Nonlinear Dynamics, Vol. 89, No. 4, 01.09.2017, p. 2785-2793.

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

Harvard

Sultanov, O 2017, 'Random perturbations of parametric autoresonance', Nonlinear Dynamics, vol. 89, no. 4, pp. 2785-2793. https://doi.org/10.1007/s11071-017-3625-8

APA

Sultanov, O. (2017). Random perturbations of parametric autoresonance. Nonlinear Dynamics, 89(4), 2785-2793. https://doi.org/10.1007/s11071-017-3625-8

Vancouver

Sultanov O. Random perturbations of parametric autoresonance. Nonlinear Dynamics. 2017 Sep 1;89(4):2785-2793. https://doi.org/10.1007/s11071-017-3625-8

Author

Sultanov, Oskar. / Random perturbations of parametric autoresonance. In: Nonlinear Dynamics. 2017 ; Vol. 89, No. 4. pp. 2785-2793.

BibTeX

@article{316098f89bdd44e689a41f4868a09389,
title = "Random perturbations of parametric autoresonance",
abstract = "We consider a system of two nonlinear differential equations describing the capture into autoresonance in nonlinear oscillators under small parametric driving. Solutions with an infinitely growing amplitude are associated with the autoresonance phenomenon. Stability of such solutions is of great importance because only stable solutions correspond to physically observable motions. We study stability of autoresonant solutions with power asymptotics and show that the random fluctuations of the driving cannot destroy the capture into the parametric autoresonance.",
keywords = "Autoresonance, Nonlinear system, Random perturbation, Stability analysis",
author = "Oskar Sultanov",
year = "2017",
month = sep,
day = "1",
doi = "10.1007/s11071-017-3625-8",
language = "English",
volume = "89",
pages = "2785--2793",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Random perturbations of parametric autoresonance

AU - Sultanov, Oskar

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We consider a system of two nonlinear differential equations describing the capture into autoresonance in nonlinear oscillators under small parametric driving. Solutions with an infinitely growing amplitude are associated with the autoresonance phenomenon. Stability of such solutions is of great importance because only stable solutions correspond to physically observable motions. We study stability of autoresonant solutions with power asymptotics and show that the random fluctuations of the driving cannot destroy the capture into the parametric autoresonance.

AB - We consider a system of two nonlinear differential equations describing the capture into autoresonance in nonlinear oscillators under small parametric driving. Solutions with an infinitely growing amplitude are associated with the autoresonance phenomenon. Stability of such solutions is of great importance because only stable solutions correspond to physically observable motions. We study stability of autoresonant solutions with power asymptotics and show that the random fluctuations of the driving cannot destroy the capture into the parametric autoresonance.

KW - Autoresonance

KW - Nonlinear system

KW - Random perturbation

KW - Stability analysis

UR - http://www.scopus.com/inward/record.url?scp=85021298382&partnerID=8YFLogxK

U2 - 10.1007/s11071-017-3625-8

DO - 10.1007/s11071-017-3625-8

M3 - Article

AN - SCOPUS:85021298382

VL - 89

SP - 2785

EP - 2793

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 4

ER -

ID: 126273271