On the periodic orbits of the third-order differential equation x ‴ - μx ″ + x ′ - μx = εf (x, x ′, x ″)

Jaume Llibre; Luci Roberto

doi:https://doi.org/10.1016/j.aml.2012.10.017

On the periodic orbits of the third-order differential equation ^{x ‴} - μ^{x ″} + ^{x ′} - μx = εf (x, ^{x ′}, ^{x ″})

Jaume Llibre, Luci Roberto

Department of Mathematics

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

3 Citations (Scopus)

Abstract

In this paper we study the periodic orbits of the third-order differential equation x‴-μx″+x′-μx= εF(x,x′,x″), where ε is a small parameter and the function F is of class C2. © 2012 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	425-430
Journal	Applied Mathematics Letters
Volume	26
Issue number	4
DOIs	https://doi.org/10.1016/j.aml.2012.10.017
Publication status	Published - 1 Apr 2013

Keywords

Averaging method
Periodic solution
Third-order differential equation

Access to Document

https://doi.org/10.1016/j.aml.2012.10.017

https://ddd.uab.cat/record/150660

Cite this

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title = "On the periodic orbits of the third-order differential equation x ‴ - μx ″ + x ′ - μx = εf (x, x ′, x ″)",

abstract = "In this paper we study the periodic orbits of the third-order differential equation x‴-μx″+x′-μx= εF(x,x′,x″), where ε is a small parameter and the function F is of class C2. {\textcopyright} 2012 Elsevier Ltd. All rights reserved.",

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AU - Llibre, Jaume

AU - Roberto, Luci

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Y1 - 2013/4/1

N2 - In this paper we study the periodic orbits of the third-order differential equation x‴-μx″+x′-μx= εF(x,x′,x″), where ε is a small parameter and the function F is of class C2. © 2012 Elsevier Ltd. All rights reserved.

AB - In this paper we study the periodic orbits of the third-order differential equation x‴-μx″+x′-μx= εF(x,x′,x″), where ε is a small parameter and the function F is of class C2. © 2012 Elsevier Ltd. All rights reserved.

KW - Averaging method

KW - Periodic solution

KW - Third-order differential equation

U2 - https://doi.org/10.1016/j.aml.2012.10.017

DO - https://doi.org/10.1016/j.aml.2012.10.017

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SP - 425

EP - 430

IS - 4