Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/241660
Type: Artigo de periódico
Title: An Estimation For The Number Of Limit Cycles In A Lienard-like Perturbation Of A Quadratic Nonlinear Center
Author: Martins
Ricardo Miranda; Mereu
Ana Cristina; Oliveira
Regilene D. S.
Abstract: The number of limit cycles which bifurcates from periodic orbits of a differential system with a center has been extensively studied recently using many distinct tools. This problem was proposed by Hilbert in 1900, and it is a difficult problem, so only particular families of such systems were considered. In this paper, we study the maximum number of limit cycles that can bifurcate from an integrable nonlinear quadratic isochronous center, when perturbed inside a class of Lienard-like polynomial differential systems of arbitrary degree n. We apply the averaging theory of first order to this class of Lienard-like polynomial differential systems, and we estimate that the number of limit cycles is 2[(n - 2)/2], where [.] denotes the integer part function.
Subject: Differential-equations
Systems
Bifurcations
Country: DORDRECHT
Editor: SPRINGER
Citation: An Estimation For The Number Of Limit Cycles In A Lienard-like Perturbation Of A Quadratic Nonlinear Center. Springer, v. 79, p. 185-194 JAN-2015.
Rights: fechado
Identifier DOI: 10.1007/s11071-014-1655-z
Address: http://link.springer.com/article/10.1007%2Fs11071-014-1655-z
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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