Resonance modes in isochronous systems with a decaying combined excitation

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Resonance modes in isochronous systems with a decaying combined excitation. / Султанов, Оскар Анварович.

In: Lobachevskii Journal of Mathematics, Vol. 46, No. 7, 01.07.2025, p. 3199-3212.

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

BibTeX

@article{68f4cf34b54440c88b86bd8408ab68f2,

title = "Resonance modes in isochronous systems with a decaying combined excitation",

abstract = "Abstract: A class of isochronous oscillatory systems in the plane subject to the influence of combined parametric and external perturbations is considered. It is assumed that the intensity of perturbations decays with time, and the frequency satisfies a resonance condition. The emergence of resonant solutions with infinitely growing amplitude, as well as trajectories tending to the equilibrium of the limiting system, is discussed. The conditions that guarantee the existence and stability of such regimes are described.",

keywords = "decaying perturbations, isochronous system, phase drifting, phase-locking, resonance, stability",

author = "Султанов, {Оскар Анварович}",

year = "2025",

month = jul,

day = "1",

doi = "10.1134/S1995080225608495",

language = "English",

volume = "46",

pages = "3199--3212",

journal = "Lobachevskii Journal of Mathematics",

issn = "1995-0802",

publisher = "Pleiades Publishing",

number = "7",

}

RIS

TY - JOUR

T1 - Resonance modes in isochronous systems with a decaying combined excitation

AU - Султанов, Оскар Анварович

PY - 2025/7/1

Y1 - 2025/7/1

N2 - Abstract: A class of isochronous oscillatory systems in the plane subject to the influence of combined parametric and external perturbations is considered. It is assumed that the intensity of perturbations decays with time, and the frequency satisfies a resonance condition. The emergence of resonant solutions with infinitely growing amplitude, as well as trajectories tending to the equilibrium of the limiting system, is discussed. The conditions that guarantee the existence and stability of such regimes are described.

AB - Abstract: A class of isochronous oscillatory systems in the plane subject to the influence of combined parametric and external perturbations is considered. It is assumed that the intensity of perturbations decays with time, and the frequency satisfies a resonance condition. The emergence of resonant solutions with infinitely growing amplitude, as well as trajectories tending to the equilibrium of the limiting system, is discussed. The conditions that guarantee the existence and stability of such regimes are described.

KW - decaying perturbations

KW - isochronous system

KW - phase drifting

KW - phase-locking

KW - resonance

KW - stability

UR - https://www.mendeley.com/catalogue/878b59c5-4b76-36cc-93a7-9c05f8844195/

U2 - 10.1134/S1995080225608495

DO - 10.1134/S1995080225608495

M3 - Article

VL - 46

SP - 3199

EP - 3212

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 7

ER -

ID: 145508991