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Home / Applicable Analysis, Volume 88, Number 12

Limit cycles for a class of fourth-order differential equations

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Authors: Llibre, Jaume 1 ; Sellami, Nabil 2 ; Makhlouf, Amar 2 ; 

Source: Applicable Analysis, Volume 88, Number 12, December 2009, pp. 1617-1630(14)

Publisher: Taylor and Francis Ltd

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

In this article, we study the limit cycles of the fourth-order differential equation  [image omitted] where ε is a small enough parameter and  [image omitted] is a 2-periodic function in the variable t.

Keywords: averaging theory; fourth-order differential equation; limit cycle; perturbation of centres

Document Type: Research Article

Affiliations: 1: Departament de Matematiques, Universitat Autonoma de Barcelona, Barcelona, Spain 2: Department of Mathematics, Annaba University, Annaba 23000, Algeria

Publication date: 01 December 2009

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