Standard

Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise. / Султанов, Оскар Анварович.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 145, 108713 , 01.06.2025.

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

Harvard

Султанов, ОА 2025, 'Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise', Communications in Nonlinear Science and Numerical Simulation, vol. 145, 108713 . https://doi.org/10.1016/j.cnsns.2025.108713

APA

Султанов, О. А. (2025). Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise. Communications in Nonlinear Science and Numerical Simulation, 145, [108713 ]. https://doi.org/10.1016/j.cnsns.2025.108713

Vancouver

Султанов ОА. Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise. Communications in Nonlinear Science and Numerical Simulation. 2025 Jun 1;145. 108713 . https://doi.org/10.1016/j.cnsns.2025.108713

Author

Султанов, Оскар Анварович. / Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise. In: Communications in Nonlinear Science and Numerical Simulation. 2025 ; Vol. 145.

BibTeX

@article{b86a236f3a5540028682d285bc87412e,
title = "Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise",
abstract = "The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially with time, and its frequency grows according to a power low. Resonant solutions with a growing amplitude and phase, synchronized with the excitation, are considered. The persistence of such a regime in the presence of stochastic perturbations is discussed. In particular, conditions are described that guarantee the stochastic stability of the resonant modes on infinite or asymptotically large time intervals. The technique used is based on a combination of the averaging method, stability analysis and construction of stochastic Lyapunov functions. The proposed theory is applied to the Duffing oscillator with a chirped-frequency excitation and noise.",
keywords = "Chirped-frequency, Damped perturbation, Lyapunov function, Phase-locking, Resonance, Stochastic stability",
author = "Султанов, {Оскар Анварович}",
year = "2025",
month = jun,
day = "1",
doi = "10.1016/j.cnsns.2025.108713",
language = "English",
volume = "145",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise

AU - Султанов, Оскар Анварович

PY - 2025/6/1

Y1 - 2025/6/1

N2 - The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially with time, and its frequency grows according to a power low. Resonant solutions with a growing amplitude and phase, synchronized with the excitation, are considered. The persistence of such a regime in the presence of stochastic perturbations is discussed. In particular, conditions are described that guarantee the stochastic stability of the resonant modes on infinite or asymptotically large time intervals. The technique used is based on a combination of the averaging method, stability analysis and construction of stochastic Lyapunov functions. The proposed theory is applied to the Duffing oscillator with a chirped-frequency excitation and noise.

AB - The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially with time, and its frequency grows according to a power low. Resonant solutions with a growing amplitude and phase, synchronized with the excitation, are considered. The persistence of such a regime in the presence of stochastic perturbations is discussed. In particular, conditions are described that guarantee the stochastic stability of the resonant modes on infinite or asymptotically large time intervals. The technique used is based on a combination of the averaging method, stability analysis and construction of stochastic Lyapunov functions. The proposed theory is applied to the Duffing oscillator with a chirped-frequency excitation and noise.

KW - Chirped-frequency

KW - Damped perturbation

KW - Lyapunov function

KW - Phase-locking

KW - Resonance

KW - Stochastic stability

UR - https://www.mendeley.com/catalogue/163da44f-4b0b-3a55-bba6-0a19926d4798/

U2 - 10.1016/j.cnsns.2025.108713

DO - 10.1016/j.cnsns.2025.108713

M3 - Article

VL - 145

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 108713

ER -

ID: 132620622