Limit cycles for a class of third-order differential equations

Jaume Llibre; Jiang Yu; Xiang Zhang

doi:10.1216/RMJ-2010-40-2-581

Limit cycles for a class of third-order differential equations

Jaume Llibre, Jiang Yu, Xiang Zhang

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

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Resum

In this paper we study the limit cycles of the third-order differential equation x - μẍ + ẋ - μx = εF(x, ẋ, ẍ, t), where μ ≠ 0, ε is small enough and F ∈ C2 is a 2π-periodic function of variable t. Copyright ©2010 Rocky Mountain Mathematics Consortium.

Idioma original	Anglès
Pàgines (de-a)	581-594
Revista	Rocky Mountain Journal of Mathematics
Volum	40
Número	2
DOIs	https://doi.org/10.1216/RMJ-2010-40-2-581
Estat de la publicació	Publicada - 1 de jul. 2010

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10.1216/RMJ-2010-40-2-581

https://ddd.uab.cat/record/226102

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https://www.scopus.com/pages/publications/77953985279

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@article{d432d0c242e84f43bd8520248d756115,

title = "Limit cycles for a class of third-order differential equations",

abstract = "In this paper we study the limit cycles of the third-order differential equation x - μẍ + ẋ - μx = εF(x, ẋ, ẍ, t), where μ ≠ 0, ε is small enough and F ∈ C2 is a 2π-periodic function of variable t. Copyright {\textcopyright}2010 Rocky Mountain Mathematics Consortium.",

keywords = "Averaging theory, Limit cycle, Perturbation of centers, Third-order differential equation",

author = "Jaume Llibre and Jiang Yu and Xiang Zhang",

year = "2010",

month = jul,

day = "1",

doi = "10.1216/RMJ-2010-40-2-581",

language = "English",

volume = "40",

pages = "581--594",

journal = "Rocky Mountain Journal of Mathematics",

issn = "0035-7596",

publisher = "Rocky Mountain Mathematics Consortium",

number = "2",

}

TY - JOUR

T1 - Limit cycles for a class of third-order differential equations

AU - Llibre, Jaume

AU - Yu, Jiang

AU - Zhang, Xiang

PY - 2010/7/1

Y1 - 2010/7/1

N2 - In this paper we study the limit cycles of the third-order differential equation x - μẍ + ẋ - μx = εF(x, ẋ, ẍ, t), where μ ≠ 0, ε is small enough and F ∈ C2 is a 2π-periodic function of variable t. Copyright ©2010 Rocky Mountain Mathematics Consortium.

AB - In this paper we study the limit cycles of the third-order differential equation x - μẍ + ẋ - μx = εF(x, ẋ, ẍ, t), where μ ≠ 0, ε is small enough and F ∈ C2 is a 2π-periodic function of variable t. Copyright ©2010 Rocky Mountain Mathematics Consortium.

KW - Averaging theory

KW - Limit cycle

KW - Perturbation of centers

KW - Third-order differential equation

UR - https://www.scopus.com/pages/publications/77953985279

U2 - 10.1216/RMJ-2010-40-2-581

DO - 10.1216/RMJ-2010-40-2-581

M3 - Article

SN - 0035-7596

VL - 40

SP - 581

EP - 594

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 2

ER -

Limit cycles for a class of third-order differential equations

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