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

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

10 Citas (Scopus)

Resumen

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	Inglés
Páginas (desde-hasta)	581-594
Publicación	Rocky Mountain Journal of Mathematics
Volumen	40
N.º	2
DOI	https://doi.org/10.1216/RMJ-2010-40-2-581
Estado	Publicada - 1 jul 2010

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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",

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AU - Yu, Jiang

AU - Zhang, Xiang

PY - 2010/7/1

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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

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VL - 40

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EP - 594

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

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ER -

Limit cycles for a class of third-order differential equations

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