A note on the periodic orbits of a kind of Duffing equations

Jaume Llibre; Ana Rodrigues

doi:https://doi.org/10.1016/j.amc.2012.11.087

A note on the periodic orbits of a kind of Duffing equations

Jaume Llibre, Ana Rodrigues

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We study the periodic orbits of the modified Duffing differential equation ÿ + ay ε ey3 = εh(y,y) with a > 0; ε a small parameter and h a C2 function in its variables. © 2012 Published by Elsevier Inc.

Original language	English
Pages (from-to)	8358-8365
Journal	Applied Mathematics and Computation
Volume	219
Issue number	15
DOIs	https://doi.org/10.1016/j.amc.2012.11.087
Publication status	Published - 1 Apr 2013

Keywords

Averaging theory
Duffing differential equation
Periodic orbit

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title = "A note on the periodic orbits of a kind of Duffing equations",

abstract = "We study the periodic orbits of the modified Duffing differential equation {\"y} + ay ε ey3 = εh(y,y) with a > 0; ε a small parameter and h a C2 function in its variables. {\textcopyright} 2012 Published by Elsevier Inc.",

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author = "Jaume Llibre and Ana Rodrigues",

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AU - Rodrigues, Ana

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AB - We study the periodic orbits of the modified Duffing differential equation ÿ + ay ε ey3 = εh(y,y) with a > 0; ε a small parameter and h a C2 function in its variables. © 2012 Published by Elsevier Inc.

KW - Averaging theory

KW - Duffing differential equation

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

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A note on the periodic orbits of a kind of Duffing equations

Abstract

Keywords

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