Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations

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

в: Sbornik Mathematics, Том 208, № 8, 01.01.2017, стр. 1088-1112.

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

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