Limit cycles for a class of fourth-order differential equations

Jaume Llibre; Nabil Sellami; Amar Makhlouf

doi:https://doi.org/10.1080/00036810903114833

Limit cycles for a class of fourth-order differential equations

Jaume Llibre, Nabil Sellami, Amar Makhlouf

Department of Mathematics

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

1 Citation (Scopus)

Abstract

Original language	English
Pages (from-to)	1617-1630
Journal	Applicable Analysis
Volume	88
DOIs	https://doi.org/10.1080/00036810903114833
Publication status	Published - 1 Dec 2009

Keywords

Averaging theory
Fourth-order differential equation
Limit cycle
Perturbation of centres

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

abstract = "In this article, we study the limit cycles of the fourth-order differential equation where e is a small enough parameter and Fε2C2 is a 2π-periodic function in the variable t. {\textcopyright} 2009 Taylor & Francis.",

keywords = "Averaging theory, Fourth-order differential equation, Limit cycle, Perturbation of centres",

author = "Jaume Llibre and Nabil Sellami and Amar Makhlouf",

year = "2009",

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

AU - Llibre, Jaume

AU - Sellami, Nabil

AU - Makhlouf, Amar

PY - 2009/12/1

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N2 - In this article, we study the limit cycles of the fourth-order differential equation where e is a small enough parameter and Fε2C2 is a 2π-periodic function in the variable t. © 2009 Taylor & Francis.

AB - In this article, we study the limit cycles of the fourth-order differential equation where e is a small enough parameter and Fε2C2 is a 2π-periodic function in the variable t. © 2009 Taylor & Francis.

KW - Averaging theory

KW - Fourth-order differential equation

KW - Limit cycle

KW - Perturbation of centres

U2 - https://doi.org/10.1080/00036810903114833

DO - https://doi.org/10.1080/00036810903114833

M3 - Article

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SP - 1617

EP - 1630

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

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