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Autoresonance in oscillating systems with combined excitation and weak dissipation. / Sultanov, Oskar A.

в: Physica D: Nonlinear Phenomena, Том 417, 01.03.2021.

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

Harvard

Sultanov, OA 2021, 'Autoresonance in oscillating systems with combined excitation and weak dissipation', Physica D: Nonlinear Phenomena, Том. 417. https://doi.org/10.1016/j.physd.2020.132835

APA

Sultanov, O. A. (2021). Autoresonance in oscillating systems with combined excitation and weak dissipation. Physica D: Nonlinear Phenomena, 417. https://doi.org/10.1016/j.physd.2020.132835

Vancouver

Sultanov OA. Autoresonance in oscillating systems with combined excitation and weak dissipation. Physica D: Nonlinear Phenomena. 2021 Март 1;417. https://doi.org/10.1016/j.physd.2020.132835

Author

Sultanov, Oskar A. / Autoresonance in oscillating systems with combined excitation and weak dissipation. в: Physica D: Nonlinear Phenomena. 2021 ; Том 417.

BibTeX

@article{645d94c03a61495692e86b3a3c73ac4d,
title = "Autoresonance in oscillating systems with combined excitation and weak dissipation",
abstract = "A mathematical model describing the initial stage of the capture into autoresonance for nonlinear oscillating systems with combined parametric and external excitation is considered. The solutions with unboundedly growing amplitude and limited phase mismatch correspond to the autoresonant capture. The paper investigates the existence, stability and bifurcations of such solutions in the presence of a weak dissipation in the system. Our technique is based on the study of particular solutions with power-law asymptotics at infinity and the construction of suitable Lyapunov functions.",
keywords = "Autoresonance, Lyapunov function, Nonlinear oscillations, Stability",
author = "Sultanov, {Oskar A.}",
year = "2021",
month = mar,
day = "1",
doi = "10.1016/j.physd.2020.132835",
language = "English",
volume = "417",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Autoresonance in oscillating systems with combined excitation and weak dissipation

AU - Sultanov, Oskar A.

PY - 2021/3/1

Y1 - 2021/3/1

N2 - A mathematical model describing the initial stage of the capture into autoresonance for nonlinear oscillating systems with combined parametric and external excitation is considered. The solutions with unboundedly growing amplitude and limited phase mismatch correspond to the autoresonant capture. The paper investigates the existence, stability and bifurcations of such solutions in the presence of a weak dissipation in the system. Our technique is based on the study of particular solutions with power-law asymptotics at infinity and the construction of suitable Lyapunov functions.

AB - A mathematical model describing the initial stage of the capture into autoresonance for nonlinear oscillating systems with combined parametric and external excitation is considered. The solutions with unboundedly growing amplitude and limited phase mismatch correspond to the autoresonant capture. The paper investigates the existence, stability and bifurcations of such solutions in the presence of a weak dissipation in the system. Our technique is based on the study of particular solutions with power-law asymptotics at infinity and the construction of suitable Lyapunov functions.

KW - Autoresonance

KW - Lyapunov function

KW - Nonlinear oscillations

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85098564229&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2020.132835

DO - 10.1016/j.physd.2020.132835

M3 - Article

AN - SCOPUS:85098564229

VL - 417

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

ER -

ID: 126272565