Limit cycles for a class of second order differential equations

Jaume Llibre; Ernesto Perez-Chavela

doi:https://doi.org/10.1016/j.physleta.2011.01.011

Limit cycles for a class of second order differential equations

Jaume Llibre, Ernesto Perez-Chavela

Department of Mathematics

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

6 Citations (Scopus)

Abstract

We study the limit cycles of a wide class of second order differential equations, which can be seen as a particular perturbation of the harmonic oscillator. In particular, by choosing adequately the perturbed function we show, using the averaging theory, that it is possible to obtain as many limit cycles as we want. © 2011 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1080-1083
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	7
DOIs	https://doi.org/10.1016/j.physleta.2011.01.011
Publication status	Published - 14 Feb 2011

Keywords

Averaging theory
Limit cycle
Second order differential equation

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

abstract = "We study the limit cycles of a wide class of second order differential equations, which can be seen as a particular perturbation of the harmonic oscillator. In particular, by choosing adequately the perturbed function we show, using the averaging theory, that it is possible to obtain as many limit cycles as we want. {\textcopyright} 2011 Elsevier B.V. All rights reserved.",

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AB - We study the limit cycles of a wide class of second order differential equations, which can be seen as a particular perturbation of the harmonic oscillator. In particular, by choosing adequately the perturbed function we show, using the averaging theory, that it is possible to obtain as many limit cycles as we want. © 2011 Elsevier B.V. All rights reserved.

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KW - Limit cycle

KW - Second order differential equation

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DO - https://doi.org/10.1016/j.physleta.2011.01.011

M3 - Article

VL - 375

SP - 1080

EP - 1083

IS - 7

ER -

Limit cycles for a class of second order differential equations

Abstract

Keywords

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