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Type: Artigo de periódico
Title: Limit Cycles Of The Generalized Polynomial Liénard Differential Equations
Author: Llibre J.
Mereu A.C.
Teixeira M.A.
Abstract: We apply the averaging theory of first, second and third order to the class of generalized polynomial Liénard differential equations. Our main result shows that for any n, m ≥ 1 there are differential equations of the form ẍ + f(x)ẋ + g(x) = 0, with f and g polynomials of degree n and m respectively, having at least [(n + m 1)/2] limit cycles, where [·] denotes the integer part function. © 2009 Cambridge Philosophical Society.
Rights: fechado
Identifier DOI: 10.1017/S0305004109990193
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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