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Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations. / Belonosov, V. S.

In: Sbornik Mathematics, Vol. 208, No. 8, 01.01.2017, p. 1088-1112.

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

Harvard

Belonosov, VS 2017, 'Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations', Sbornik Mathematics, vol. 208, no. 8, pp. 1088-1112. https://doi.org/10.1070/SM8883

APA

Belonosov, V. S. (2017). Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations. Sbornik Mathematics, 208(8), 1088-1112. https://doi.org/10.1070/SM8883

Vancouver

Belonosov VS. Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations. Sbornik Mathematics. 2017 Jan 1;208(8):1088-1112. doi: 10.1070/SM8883

Author

Belonosov, V. S. / Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations. In: Sbornik Mathematics. 2017 ; Vol. 208, No. 8. pp. 1088-1112.

BibTeX

@article{1092cfa103dc49439d18fd9ebeb18c01,
title = "Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations",
abstract = "This paper is concerned with parametric resonance under nonlinear periodic perturbations of differential equations which are abstract analogues of hyperbolic systems. A modification of the Krylov-Bogolyubov averaging method capable of circumventing the well-known small divisor problem is applied to reduce the description of solutions of perturbed equations at resonance to the study of autonomous dynamical systems in finite-dimensional spaces.",
keywords = "Averaging method, Hyperbolic equations, Parametric resonance",
author = "Belonosov, {V. S.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1070/SM8883",
language = "English",
volume = "208",
pages = "1088--1112",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "8",

}

RIS

TY - JOUR

T1 - Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations

AU - Belonosov, V. S.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This paper is concerned with parametric resonance under nonlinear periodic perturbations of differential equations which are abstract analogues of hyperbolic systems. A modification of the Krylov-Bogolyubov averaging method capable of circumventing the well-known small divisor problem is applied to reduce the description of solutions of perturbed equations at resonance to the study of autonomous dynamical systems in finite-dimensional spaces.

AB - This paper is concerned with parametric resonance under nonlinear periodic perturbations of differential equations which are abstract analogues of hyperbolic systems. A modification of the Krylov-Bogolyubov averaging method capable of circumventing the well-known small divisor problem is applied to reduce the description of solutions of perturbed equations at resonance to the study of autonomous dynamical systems in finite-dimensional spaces.

KW - Averaging method

KW - Hyperbolic equations

KW - Parametric resonance

UR - http://www.scopus.com/inward/record.url?scp=85049165082&partnerID=8YFLogxK

U2 - 10.1070/SM8883

DO - 10.1070/SM8883

M3 - Article

AN - SCOPUS:85049165082

VL - 208

SP - 1088

EP - 1112

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 8

ER -

ID: 14279400